Results 41 to 50 of about 13,570 (54)
Global Optimal Regularity for the Parabolic Polyharmonic Equations
Boundary Value Problems, 2010 We show the global regularity estimates for the following parabolic polyharmonic equation in under proper conditions. Moreover, it will be verified that these conditions are necessary for the simplest heat equation in .
Yao Fengping
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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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Boundary Value Problems, 2007 We consider the existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales by establishing a comparison result and using the monotone iterative ...
Li Yongkun, Zhang Hongtao
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Stability on 3D Boussinesq system with mixed partial dissipation
Advances in Nonlinear AnalysisIn the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia +3 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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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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Boundary Value Problems, 2017 Consider the anisotropic parabolic equation with the variable exponent u t = ∑ i = 1 N ( a i ( x ) | u x i | p i ( x ) − 2 u x i ) x i , $$ {u_{t}}=\sum_{i=1}^{N} \bigl(a_{i}(x)|u_{x_{i}}|^{p_{i}(x)-2}u_{x_{i}} \bigr)_{x _{i}}, $$ with a i ( x ) $a_{i}(x)
Huashui Zhan
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