Blow up at infinity of solutions for integro-differential equation

被引：16

作者：

Liu, Gongwei ^{[1
]}

Zhang, Hongwei ^{[1
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 230卷

基金：

中国国家自然科学基金;

关键词：

Blow up at infinity; Strong damping term; Integro-differential equation; Source term; GLOBAL NONEXISTENCE THEOREMS; SEMILINEAR WAVE-EQUATION; INITIAL-ENERGY SOLUTIONS; EVOLUTION-EQUATIONS; ASYMPTOTIC STABILITY; EXISTENCE; DISSIPATION; DECAY; SYSTEMS;

D O I：

10.1016/j.amc.2013.12.105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the blow up at infinity of solutions for the integro-differential equation with strong damping term as well as a time dependent nonlinear dissipative function Q and a driving force term f, under the homogeneous Dirichlet boundary conditions. Some interesting applications are given in particular subcases of Q and f. This improves earlier results in the literatures. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：303 / 314

页数：12

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