Existence and Exponential Decay of Solutions for a Wave Equation with Integral Nonlocal Boundary Conditions of Memory Type

Autor:	Le Thi Phuong Ngoc, Nguyen Thanh Long, Alain Pham Ngoc Dinh, Nguyen Anh Triet
Rok vydání:	2017
Předmět:	Control and Optimization Memory type 010102 general mathematics Mathematical analysis Nonlocal boundary 010103 numerical & computational mathematics 01 natural sciences Computer Science Applications Nonlinear wave equation Signal Processing 0101 mathematics Exponential decay Analysis Mathematics
Zdroj:	Numerical Functional Analysis and Optimization. 38:1173-1207
ISSN:	1532-2467 0163-0563
DOI:	10.1080/01630563.2017.1320672
Popis:	In this paper, we consider a wave equation with integral nonlocal boundary conditions of memory type. First, we establish two local existence theorems by using Faedo–Galerkin method and standard arguments of density. Next, we give a sufficient condition to guarantee the global existence and exponential decay of weak solutions. Finally, we present numerical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::485d566af70c010081ac1135ffb44176 https://doi.org/10.1080/01630563.2017.1320672 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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