Nonlocal Boundary Condition
A Quasilinear Parabolic System with Nonlocal Boundary Condition
... We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global ...
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Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition
... On the other hand, there are a number of important phenomena modeled by parabolic equations coupled with nonlocal boundary condition of form 1.2. In this case, the solution could be used to describe ...
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Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition
... represent the density of the species at location x and time t, the mutation, the human- controlled distribution, and the decrement rate of biological species, respectively. The evolution of the species at a point of ...
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Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space
... In this paper, the reproducing kernel Hilbert space method was applied suc- cessfully for solving an inverse problem for a parabolic equation with nonlocal boundary condition. Proposed method is ...
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Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition
... Motivated by the recent known results as regards the existence and exponential decay of solutions for wave equations, this paper is devoted to the study of an N-dimensional nonlinear wave equation with a nonlocal ...
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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... fractional nonlocal boundary condition by using the monotone iterative technique based on the method of upper and lower solutions and give a specific iterative equation about its ...
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Solution of two-dimensional non-linear Burgers’ equations with nonlocal boundary condition
... Partial differential equation (1.1) can be solved by splitting it into two one dimensional equation from [ 10 ] rather than discretising the complete two-dimensional Burgers’ equation to[r] ...
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Weak generalized and numerical solution for a quasilinear pseudo parabolic equation with nonlocal boundary condition
... In this study, we consider the initial-boundary value problem ()-() with nonlocal boundary conditions ()-(). The periodic nature of ()-() type boundary conditions is demonstrated in []. ...
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations
... non-local boundary, it has an exact analytic solution and inaccuracies due to the angular limitations of the Claerbout approximation are avoided as we can ...
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Well-posedness of a parabolic equation with nonlocal boundary condition
... with boundary conditions specifying the solution on the boundary of the ...classical boundary condi- tions (see, for example, [] and the references ...classical boundary conditions cannot ...
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Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... This article deals with the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary condition. The blow-up and global existence ...
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Horizontal Diffraction in Multiple Obstacles Using Parabolic Equation with Recursive Convolution Nonlocal Boundary Conditions
... the boundary conditions (BC) must be specified at both sides of the computational domain and inserted into the FD-PEM ...several boundary conditions to truncate the infinite space, such as the perfectly ...
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Initial boundary value problem with a nonlocal condition for a viscosity equation
... 1. Formulation of the problem. In this paper, we deal with a class of hyperbolic equations with time- and space-variable characteristics, with a nonlocal boundary condition. The precise statement of ...
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Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary
... This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x, t) = Ω f (x, y)u(y,t)d y on ∂ Ω × (0,T ). The conditions on the ...
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Nonlocal semilinear evolution equations without strong compactness: theory and applications
... multivalued nonlocal boundary condition is considered, and in [] an abstract problem as ...two-point boundary condition by means of weak topology, thus avoiding hypotheses of ...
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Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions
... and boundary value problems of fractional differential equations involving a variety of conditions have been investigated by several researchers, and the literature on the topic is now much ...
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Maximum principles for a family of nonlocal boundary value problems
... We study a family of three-point nonlocal boundary value problems (BVPs) for an n th- order linear forward difference equation. In particular, we obtain a maximum principle and determine sign properties of a ...
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Positive solutions for singular boundary value problems involving integral conditions
... 8. Asakawa, H: On nonresonant singular two-point boundary value problems. Nonlinear Anal. 47, 4849-4860 (2001) 9. Zeidler, E: Nonlinear Functional Analysis and Its Applications, I. Fixed-Point Theorems. Springer, ...
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Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition
... Abstract. In this paper we study the existence of solutions for initial value problem for a class of nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition. Our results are ...
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Existence and Uniqueness of a Fuzzy Solution for Some Fuzzy Neutral Partial Differential Equation with Nonlocal Condition
... with nonlocal conditions have been studied extensively in the ...of nonlocal conditions in different fields has been discussed [4,5,9] and the references ...with nonlocal conditions have been studied ...
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