Results 11 to 20 of about 3,476 (289)
On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition [PDF]
Boundary Value Problems, 2009 This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
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Nonlocal boundary value problems for hyperbolic-Schrödinger equations with multipoint nonlocal boundary condition [PDF]
AIP Conference Proceedings, 2017 In this work, the stability estimates for the solution of the given problem for hyperbolic-Schrodinger partial differential equations with the multipoint nonlocal boundary condition are obtained. In applications, the stability estimates for the solutions of the mixed type boundary value problems for hyperbolic-Schrodinger equations are established.
Özdemir, Yıldırım, Erdoğan, Sevilay
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Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition [PDF]
Abstract and Applied Analysis, 2012 This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang +2 more
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Mathematical Modelling and AnalysisThe article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this
Kristina Bingelė, Artūras Štikonas
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Nonlocal problems with Neumann boundary conditions [PDF]
Revista Matemática Iberoamericana, 2017 We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Serena Dipierro +2 more
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Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor
Nonlinear Analysis, 2017 We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas +3 more
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NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2022 The solvability conditions for a class of boundary value problems for a nonlocal biharmonic equation in the unit ball with the Neumann conditions on the boundary are studied. The nonlocality of the equation is generated by some orthogonal matrix. The presence and uniqueness of a solution to the proposed Neumann boundary condition is examined, and an ...
B.Kh. Turmetov, V.V. Karachik
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PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A HYPERBOLIC EQUATION
Vestnik of Samara University. Natural Science Series, 2017 In this paper we consider an initial-boundary problem with nonlocal boundary condition for one-dimensional hyperbolic equation. Nonlocal condition is dynamic so as represents a relation between values of derivatives with respect of spacial variables of a required solution, first-order derivatives with respect to time variable and an integral of a ...
V. A. Kirichek
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Nonlocal effect on boundary conditions of cantilever nanobeam
AIP Conference Proceedings, 2020 Free vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory. Nonlocal effect on boundary conditions have been taken into account. Variational energy formulation of nanobeam has been carried out for obtaining the nonlocal governing equation of motion and boundary conditions.
Arda, Mustafa, Aydogdu, Metin
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