Bounded solutions of delay nonlinear evolutionary equations
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
We consider the initial value problem {du/dt + Au(t) = f (u(t), u(t w)), t >= 0, u(t) = phi(t), -w <= t <= 0 in a Banach space E with the positive operator A. Theorem on the existence and uniqueness of a bounded solution of this problem is established for a nonlinear evolutionary equation with time delay. The application of the main theorem for four different nonlinear partial differential equations with time delay is shown. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay are presented. Numerical results are provided. (C) 2016 Elsevier B.V. All rights reserved.
Description
Keywords
Delay Evolutionary Equations, Bounded Solution, Difference Schemes, Existence And Uniqueness, Positive Operator, Banach Space, Well-Posedness
Journal or Series
Journal Of Computational And Applied Mathematics
WoS Q Value
Q1
Scopus Q Value
Q2
Volume
318
