Global asymptotic behaviour in some functional parabolic equations

被引：6

作者：

Laister, R ^{[1
]}

机构：

[1] Univ W England, Sch Math Sci, Bristol BS16 1QY, Avon, England

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 03期

关键词：

non-local; spatio-temporal kernel; global convergence; comparison principles; parabolic equations;

D O I：

10.1016/S0362-546X(01)00766-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global asymptotic behavior in some functional parabolic equations was presented. The sufficient condition for the global convergence to a spatially uniform equilibrium in the system of functional partial differential equations was provided. Results were observed to be valid for all non-negative spatio-temporal kernels, which also satisfied a uniform normailzation condition.

引用

页码：347 / 361

页数：15

共 50 条

[1] Asymptotic behaviour of solutions of some nonlinear parabolic or elliptic equations
Kondratiev, VA
Veron, L
ASYMPTOTIC ANALYSIS, 1997, 14 (02) : 117 - 156
[2] On the asymptotic behaviour of solutions of some nonlinear elliptic and parabolic equations
Quintanilla, R
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (04) : 1275 - 1293
[3] Asymptotic behaviour and oscillations of solutions of nonlinear parabolic differential - Functional equations
Minchev E.
Yoshida N.
Journal of Applied Mathematics and Computing, 2002, 9 (2) : 465 - 473
[4] On the asymptotic behaviour of solutions for some semilinear parabolic and elliptic equations of second order
Boni, TK
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (05): : 455 - 460
[5] Asymptotic behaviour of solutions of semilinear parabolic equations
Egorov, Yu. V.
Kondratiev, V. A.
SBORNIK MATHEMATICS, 2008, 199 (3-4) : 539 - 556
[6] Asymptotic behaviour of parabolic nonautonomous evolution equations
Schnaubelt, Roland
FUNCTIONAL ANALYTIC METHODS FOR EVOLUTION EQUATIONS, 2004, 1855 : 401 - 472
[7] On the asymptotic behaviour of solutions of nonlinear parabolic equations
Kon'kov, A
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 365 - 384
[8] On some global well-posedness and asymptotic results for quasilinear parabolic equations
McLeod, Kevin
Milani, Albert
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1996, 3 (01): : 79 - 114
[9] Asymptotic behaviour of solutions of impulsive semilinear parabolic equations
Medical University of Sofia, P.O. Box 45, 1504 Sofia, Bulgaria
不详
Nonlinear Anal Theory Methods Appl, 5 (2725-2734):
[10] Asymptotic behaviour of solutions of impulsive semilinear parabolic equations
Bainov, DD
Minchev, E
Nakagawa, K
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) : 2725 - 2734

← 1 2 3 4 5 →