Results 11 to 20 of about 8,778,307 (358)
In this paper, we prove that the controllability of time varying linear system is preserved if we add impulses, delay and nonlocal conditions on it. In order to do that, we assume some conditions on the non-linear terms and apply the Rothe’s fixed point ...
Leiva Hugo, Cabada Dalia, Gallo Rodolfo
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Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions [PDF]
In the paper the convergence of a finite difference scheme for two-dimensional nonlinear elliptic equation in the rectangular domain with the integral boundary condition is considered.
Mifodijus Sapagovas +3 more
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In this theory, the existence of a mild solution for a neutral partial integrodifferential nonlocal system with finite delay is presented and proved using the techniques of the Monch–Krasnosel’skii type of fixed point theorem, a measure of noncompactness
C. Ravichandran +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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Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions [PDF]
The authors study the existence and uniqueness of mild solutions for the Cauchy problem for impulsive Riemann-Liouville integro-differential equations involving non-local initial condition: \[ \begin{gathered} u'(t)- \int^t_0 {(t- s)^{\alpha-2}\over \Gamma(\alpha- 1)} Au(s)\,ds= F(t,u(t)),\quad 0\leq t\leq a,\;t\neq t_1,\\ u(0)= H(u),\\ u(t^+_i)= u(t ...
Jun Xia, Rong-Nian Wang
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Motivated by some variational problems from a nonlocal model of mechanics, this work presents a set of sufficient conditions that guarantee a compact inclusion in the function space of $ L^{p} $ vector fields defined on a domain $ \Omega $ that is either
Qiang Du +2 more
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Recovering differential operators with nonlocal boundary conditions [PDF]
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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