Long-time behavior of bounded global solutions to systems of nonlinear integro-differential equations

被引：1

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：

ASYMPTOTIC ANALYSIS | 2013年 / 85卷 / 3-4期

关键词：

integro-differential equations; fractional derivative; gradient system; Lyapunov function; convergence to steady state; Lojasiewicz inequality; CONVERGENCE;

D O I：

10.3233/ASY-131180

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the long-time behavior of bounded solutions of certain systems of nonlinear integro-differential equations, including differential equations of fractional order between 1 and 2. We obtain appropriate Lyapunov functions for this system and prove that any bounded global solution converges to a steady state if the nonlinear potential E' occurring in the system satisfies the Lojasiewicz inequality.

引用

页码：167 / 178

页数：12

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