Convergence to steady states of solutions of semilinear evolutionary integral equations

被引：20

作者：

Chill, R ^{[1
]}

Fasangová, E

机构：

[1] Univ Ulm, Abt Angew Anal, D-89069 Ulm, Germany

[2] Charles Univ Prague, Dept Math Anal, Prague 18675 8, Czech Republic

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 22卷 / 03期

关键词：

D O I：

10.1007/s00526-004-0278-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the convergence and decay rate to a steady state of bounded solutions of the nonlinear evolutionary integral equation u + B-0(u) over dot + a * (B-1(u) over dot) + M( u) = 0, and we apply our abstract results to the viscoelastic Euler-Bernoulli beam and to Kelvin-Voigt solids.

引用

页码：321 / 342

页数：22

共 18 条

[1]

AIZICOVICI S, 2004, IN PRESS INTEGRAL EQ

[2]

Aizicovici S., 2001, J EVOL EQU, V1, P69, DOI DOI 10.1007/PL00001365

[3]

[Anonymous], 1990, SYSTEMES DYNAMIQUES

[4]

Arendt W., 2001, MONOGRAPHS MATH, V96