Global existence and asymptotic behavior of solutions for a system of higher-order Kirchhoff-type equations

Ye Yaojun

首页> 外文期刊>Electronic Journal of Qualitative Theory of Differential Equations >Global existence and asymptotic behavior of solutions for a system of higher-order Kirchhoff-type equations

【24h】

Global existence and asymptotic behavior of solutions for a system of higher-order Kirchhoff-type equations

机译：一类高阶Kirchhoff型方程组解的整体存在性和渐近行为

获取原文

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper deals with the global existence and energy decay of solutions for some coupled system of higher-order Kirchhoff-type equations with nonlinear dissipative and source terms in a bounded domain. We prove the existence of global solutions for this problem by constructing a stable set in $H_0^{m_1}(Omega) imes H_0^{m_2}(Omega)$ and give the decay estimate of global solutions by applying a lemma of V. Komornik.

机译：本文讨论了带界域中具有非线性耗散项和源项的高阶Kirchhoff型方程耦合系统解的整体存在性和能量衰减。我们通过在$ H_0 ^ {m_1}（ Omega） times H_0 ^ {m_2}（ Omega）$中构造一个稳定集来证明该问题的全局解的存在，并通过引理给出全局解的衰减估计V. Komornik。

著录项

来源
《Electronic Journal of Qualitative Theory of Differential Equations》 |2015年第8期|共12页
作者
Ye Yaojun;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种
中图分类数学;
关键词
system of higher-order Kirchhoff-type equationsinitial-boundary value problemglobal solutionsasymptotic behavior;

机译：高阶Kirchhoff型方程组初边值问题整体解渐近性;

相似文献

外文文献
中文文献
专利

1. Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms [J] . Aliev A.B., Kazimov A.A. Nonlinear Analysis: An International Multidisciplinary Journal . 2012,第1期

机译：具有阻尼项的半线性双曲型方程组Cauchy问题整体解的存在，不存在和渐近行为
2. Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation [J] . Li FC Applied mathematics letters . 2004,第12期

机译：具有非线性耗散的高阶Kirchhoff型方程解的整体存在和爆破
3. Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher-Order Wave Equation [J] . Yaojun Ye Journal of inequalities and applications . 2010,第PTa1期

机译：一类非线性高阶波动方程整体解的存在性与渐近性
4. Existence of high energy solutions for Kirchhoff-type equations [C] . Chunhan Liu, Jianguo Wang International Conference on Systems Engineering and Modeling . 2013

机译：Kirchhoff型方程高能量解决方案的存在
5. Global Existence and Asymptotic Behaviors For Some Nonlinear Partial Differential Equations [D] . Binshati, Ismahan Dhaw. 2019

机译：一些非线性偏微分方程的全局存在和渐近行为
6. Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian [O] . Liejun Shen -1

机译：一类涉及分数p-Laplacian的Kirchhoff型方程解的多重性和渐近行为
7. Global existence and asymptotic behavior of solutions for a system of higher-order Kirchhoff-type equationsud [O] . Ye Yaojun 2015

机译：一类高阶Kirchhoff型方程组解的整体存在性和渐近行为 ud

Global existence and asymptotic behavior of solutions for a system of higher-order Kirchhoff-type equations

摘要

著录项

相似文献

相关主题

期刊订阅