Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales
Boundary Value Problems, 2009 We are concerned with singular three-point boundary value problems for delay higher-order dynamic equations on time scales. Theorems on the existence of positive solutions are obtained by utilizing the fixed point theorem of cone expansion and ...
Liang-Gen Hu, Ti-Jun Xiao, Jin Liang
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Weak Solutions of a Stochastic Model for Two-Dimensional Second Grade Fluids
Boundary Value Problems, 2010 We initiate the investigation of a stochastic system of evolution partial differential equations modelling the turbulent flows of a second grade fluid filling a bounded domain of ℝ2.
P. A. Razafimandimby, M. Sango
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New proof on exponential convergence for cellular neural networks with time-varying delays
Boundary Value Problems, 2019 In this paper, we deal with a class of cellular neural networks with time-varying delays. Applying differential inequality strategies without assuming the boundedness conditions on the activation functions, we obtain a new sufficient condition that ...
Changjin Xu, Peiluan Li
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Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
, 2011 Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
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Blowup for degenerate and singular parabolic system with nonlocal source
Boundary Value Problems, 2006 We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions.
Zhou Jun, Mu Chunlai, Li Zhongping
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Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique
Boundary Value ProblemsThis study presents a novel numerical approach for approximating the solution of third-order pseudo-parabolic partial differential equations (PDEs), which exhibit both parabolic and hyperbolic characteristics.
Neeraj Dhiman +4 more
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The Existence and Behavior of Solutions for Nonlocal Boundary Problems
Boundary Value Problems, 2009 The purpose of this work is to investigate the uniqueness and existence of local solutions for the boundary value problem of a quasilinear parabolic equation. The result is obtained via the abstract theory of maximal regularity. Applications are given to
Shengzhou Zheng, Yuandi Wang
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Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
Boundary Value Problems, 2018 In this manuscript, we give some sufficient conditions for existence, uniqueness and various kinds of Ulam stability for a toppled system of fractional order boundary value problems involving the Riemann–Liouville fractional derivative.
Zeeshan Ali, Akbar Zada, Kamal Shah
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Localized boundary-domain integral formulations for problems with variable coefficients
, 2002 Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
S.E. Mikhailov, Mikhailov, SE
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