Long-time behavior of nonlinear integro-differential evolution equations

被引：9

作者：

Sanchez, Justino ^{[1
]}

Vergara, Vicente ^{[2
]}

机构：

[1] Univ La Serena, Dept Matemat, La Serena, Chile

[2] Univ Tarapaca, Inst Alta Invest, Arica, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 91卷

关键词：

Integro-differential evolution equations; Fractional derivative; Gradient sytem; Lyapunov function; Convergence to steady state; Lojasiewicz-Simon inequality; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC-BEHAVIOR; HEAT-CONDUCTION; STEADY-STATES; CONVERGENCE;

D O I：

10.1016/j.na.2013.06.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the long-time behavior as time tends to infinity of globally bounded strong solutions to certain integro-differential equations in Hilbert spaces. Based on an appropriate new Lyapunov function and the Lojasiewicz-Simon inequality, we prove that any globally bounded strong solution converges to a steady state in a real Hilbert space. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：20 / 31

页数：12

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