On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition [PDF]
The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
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A non-local problem with integral conditions of the first kind for the string vibration equation
The article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on ...
Y. S. Buntova
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A problem with nonlocal conditions for a one-dimensional parabolic equation [PDF]
In present paper, we consider a problem with nonlocal conditions for parabolic equation and show that there exists a unique weak solution in Sobolev space.
Alexander B. Beylin +2 more
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In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
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Nonlocal Neumann boundary conditions
We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for ...
Edoardo Proietti Lippi
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Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
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Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics
Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot ...
Dmytro Sytnyk, Roderick Melnik
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A nonlocal problem for loaded partial differential equations of fourth order
A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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Sturm–Liouville problem with two point nonlocal second type boundary condition
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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