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CADSMAP
Research Reports
[Instructions for authors]
The Centre for Applied Dynamical
Systems, Mathematical Analysis
and Probability has its own Research Report Series.
Some reports are available for download.
[
1997
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1998
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1999
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2000
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2001
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2002
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2003
]
2003
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02-01
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Chabrowski,J. and Tonkes, E.,
On Elliptic Systems Pertaining to the Schrodinger Equation
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2002
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02-01
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Jak, E., and Vladimirov, I.
Computing the distribution of polyanionic
chains in binary silicate melts on a basis of a random forest model,
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02-02
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Diamond, P., Kloeden, P., and Vladimirov, I.
Mean anisotropy of homogeneous Gaussian random fields and
anisotropic norms of linear translation
invariant operators on multidimensional integer lattices
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02-03
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Chabrowski, J. and Tonkes, E.
On the nonlinear Neumann problem
with critical and supercritical nonlinearities
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02-04
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Bebbington, M., Pollett, P.K. and Ziedins, I.
Two-link approximation sche
mes for loss networks with linear structure and trunk reservation.
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02-05
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Pollett, P.K.
Identifying Q-processes with a given finite m-invariant mea
sure.
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02-06
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Pollett, P.K.
Integrals for continuous-time Markov chains.
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02-08
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Pollett, P.K.
Optimal capacity assignment in general queueing networks.
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02-09
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Pollett, P.K. and Stefanov, V.T.
Path integrals for continuous-time Markov chains.
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02-10
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Pollett, P.K. and Thompson, M.R.
A new method for analysing the equilibrium and time-dependent behaviour of Markovian models.
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02-11
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Pollett, P.K. and Zhang, H.
Existence and uniqueness of Q-processes wi
th a given finite m-invariant measure.
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02-12
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Thompson, M.R. and Pollett, P.K.
A reduced load approximation accounting for
link interactions in a loss network.
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2001
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01-01
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Vladimirov, I., Diamond, P. and Kloeden, P.,
Anisotropy-based robust performance analysis of linear discrete
time varying systems
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01-02
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Diamond, Phil and Opoitsev, Valery,
Stability of a class of differential inclusions
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01-03
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Vladimirov, I.,
Anisotropy-based optimal filtering in linear discrete time invariant
systems
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01-04
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Vivaldi, F., and Vladimirov, I.,
Pseudo-randomness of roundoff errors in discretized linear maps on the
plane
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01-05
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Vladimirov, I., and Diamond, P.,
Robust filtering in finite horizon linear discrete time varying systems
by minim
um anisotropic norm criterion
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2000
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00-01
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Bebbington, M., Pollett, P.K. and Ziedins, I.
Product form approximations for highly linear loss networks with trunk
reservation
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00-02
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Pollett, P.K. and Thompson, M.R.
The analysis of continuous-time Markovian models using expected rates
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00-03
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Bean, N.G., Pollett, P.K. and Taylor, P.G.
The quasistationary distributions of
level-dependent quasi-birth-and-death processes
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00-04
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Pollett, P.K.
Resource allocation queueing networks
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00-05
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Clancy, D., O'Neill, P.D. and Pollett, P.K.
Approximations for the long-term behaviour of an open-population epidemic model
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00-06
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Pollett, P.K.
Similar Markov chains
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00-07
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Pollett, P.K.
Resource allocation in general
queueing networks with applications to data networks
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00-08
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Thompson, M.R. and Pollett, P.K.
A reduced load approximation accounting for link interactions
in a loss network
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1999
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99-01
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Darlington, S.J. and Pollett, P.K.
Quasistationarity in continuous time Markov chains where absorption
is not certain
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99-02
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Pollett, P.K.
Bottlenecks in Markovian queueing networks
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99-03
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Yuan, George.
The calibration of Black-Derman-Toy / Black-Karasinski
short rate models and pricing Bermudan swaptions
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99-04
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Yang, C.C. and Yuan, George.
Another new way to price American options by using
interior point method
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99-05
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Yuan, George.
The characterisation of generalised metric KKM mappings with
open values in hyperconvex metric spaces and some applications.
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99-06
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Yuan, George, Isac, G., Tan, K.K. and Yu, J.
The study of minimax inequalities,
abstract economics and applications to variational inequalities and
Nash equilibria
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99-07
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Kim, W.K. and Yuan, George.
On a new existence of equilibrium in SSC
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99-08
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Kirk, A.W., Sims, B. and Yuan, George.
The KKM theory in hyperconvex metric space and some of its applications
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99-09
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Isac, G. and Yuan, G.
The dual form of KKM principle in hyperconvex metric spaces and some
applications
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99-10
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Wu, X. and Yuan, George.
Approximate selection, fixed point, almost fixed point of
multivalued mappings and generalised quasi-variational inequality in
H-spaces
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99-11
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Chang, S.S., Thompson, B. and Yuan, G.
The existence theorems of solutions for
generalised vector-valued variational-like inequalities
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99-12
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Kim, W.K. and Yuan, George.
New existence of equilibria in generalised social systems with coordination
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99-13
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Isac, G. and Yuan, G.
The essential components of coincident points
for weakly inward and outerward set-valued mappings
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99-14
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Sims, B., Xu, H.K. and Yuan, G.
The homotopic invariance for fixed points
of set-valued nonexpansive mappings
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99-15
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Lee, B.S., Cho, Y.J. and Yuan, G.
The characterisation of generalisation KKM-mapping with finitely open
values in topological vector spaces
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99-16
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Isac, G. and Yuan, G.
Remarks on the existence of maximal elements
with respect to a binary relation in non-compact topological spaces
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99-17
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Tarafdar, E. and Yuan, George.
Variational inequalities and applications to generalized
complementarity problems, fixed point theorems of set-valued mappings and
minimization problems
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99-18
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Yuan, George.
Wavelet analysis and its applications in statistics
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99-19
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Bebbington, M., Pollett, P.K. and Ziedins, I.
Product form approximations for highly linear loss networks with trunk
reservation
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99-20
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Pollett, P.K. and Thompson, M.R.
The analysis of continuous-time Markovian models using expected rates
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99-21
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Pollett, P.K.
Quasistationarity in populations that are subject to large-scale
mortality or emigration
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99-22
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Clancy, D., O'Neill, P.D. and Pollett, P.K.
The long-term behaviour of an open-population epidemic model.
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99-23
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Diamond, Phil and Vladimirov, I.
Set-valued Markov chains and negative semi-trajectories of discretized
dynamical systems
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99-24
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Diamond, Phil and Vladimirov, I.
Higher order terms in asymptotic expansion for information loss in
quantized random processes
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99-25
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Diamond, Phil and Vladimirov, I.
Discretized unimodal mappings and branching processes
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99-26
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Diamond, Phil and Vladimirov, I.
Rigorous justification of the uniform white noise model for roundoff
errors in fixed point digital filters
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99-27
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Pollett, P.K.
Identifying Q-processes with a given finite
m-invariant
measure
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99-28
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Pollett, P.K.
Modelling congestion in closed queueing networks
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99-29
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Vladimirov I., Kuznetsov N. and Diamond P.,
Frequency measurability, algebras of quasiperiodic sets and spatial
discretizations of smooth dynamical systems
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1998
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98-01
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Tarafdar, E. and Yuan, X.Z. (George)
Some applications of Knaster-Kuratowski and Mazurkiewicz principle in
hyperconvex metric spaces
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98-02
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Bebbington, M., Pollett, P.K. and Ziedins, I.
Product form approximations for highly linear loss networks with
trunk reservation
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98-03
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Bebbington, M., Pollett, P.K. and Ziedins, I.
Two-link approximation schemes for linear loss
networks without controls
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98-04
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Coolen-Schrijner, P., Hart, A.G. and Pollett, P.K.
Quasistationarity of continuous-time Markov chains with positive drift
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98-05
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Yuan, George Xian-Zhi,
Fixed points of upper semicontinuous mappings in locally G-convex Spaces
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98-06
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Djafari-Rouhani, B., Tarafdar E. and Watson, P.J.
Coincidences and a fixed point theorem
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98-07
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Yang, Gan-Shang and Yuan, George Xian-Zhi,
A characteristic of strong separation property for convex sets without
compactness in locally convex spaces and some applications
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98-08
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Ding, X.P. and Yuan, George Xian-Zhi,
The study of existence of equilibria for generalized games without lower
semicontinuity in locally convex TVS
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98-09
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Isac, George and Yuan, George Xian-Zhi,
The generic stability and existence of essentially connected components
of solutions for nonlinear complementarity problems
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98-10
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Isac, George and Yuan, George Xian-Zhi,
The existence of essentially connected components of solutions for
variational inequalities
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98-11
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Djafari-Rouhani, B., Tarafdar E. and Watson, P.J.,
Simultaneous solutions of an uncountable family of variational
inequalities
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98-12
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Mark Bebbington, Phil Pollett, Ilze Ziedins,
Two-link approximation schemes for loss networks with linear structure
and trunk reservation
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98-13
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Diamond, Phil and Vladimirov, I.,
Loss of invertibility of smooth diffeomorphisms under spatial
discretization
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1997
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97-01
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Diamond, P. and Vladimirov, I.
Asymptotic independence and uniform distribution of quantization errors
for spatially discretized dynamical systems
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97-02
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Bean, N.G., Pollett, P.K. and Taylor, P.G.,
The quasistationary distributions of level-independent
quasi-birth-and-death
processes.
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97-03
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Tarafdar, E. and Yuan, X.Z.(George),
The existence of equilibria for generalized games without lower
semicontinuity
for constraint mappings
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97-04
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Pollett, P.K. and Schrijner, P.
Quasi-stationarity of discrete-time Markov chains with drift to
infinity
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97-05
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Yuan, X.Z.(George) and Yu, J.,
The existence and generic stability for Nash-equlibria and Walrasian
equilibria
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97-06
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Pollett, P.K.,
Limiting conditional distributions for
stochastic metapopulation models
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97-07
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Yuan, X.Z.(George),
The study of existence of equilibria for non-compact abstract economics
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97-08
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Pollett, P.K.,
Optimal allocation of effort in packet
switching networks with generally distributed
transmission times
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97-09
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Yang, G.S. and Yuan, X.Z.(George),
A sufficient and necessary condition for upper hemicontinuous set-valued
mappings without compact-values being upper demicontinuous
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97-10
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Bean, N.G., Pollett, P.K. and Taylor, P.G.,
Beta-invariant measures for level-dependent quasi-birth-and-death processes
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97-11
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Zhu, Y.G. and Yuan, X.Z.(George),
The existence of nontrivial solutions for variational inequalities by
using solution index approach
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97-12
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Pollett, P.K.,
Quasistationary distributions for
continuous time Markov chains when absorption
is not certain
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97-13
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Yuan, X.Z.(George),
The study of non-compact generalized games with L-majorized
mappings in locally TVS
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97-15
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Luo, Q., Yuan, X.Z.(George) and Sun, T.X.,
The existence of essential components for coincident points of
set-valued
mappings
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97-16
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Takahashi, W., Tarafdar, E. and Yuan, X.Z.(George),
The existence and stability of saddle points and minimax theorems for
vector-valued mappings in vector optimization theory
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97-17
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George Xian-Zhi Yuan,
Fixed points of upper semicontinuous mappings in locally convex MC-spaces
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