Periodic solutions of systems of parabolic equations in unbounded domains

被引：9

作者：

Pao, CV ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 40卷 / 1-8期

关键词：

parabolic system; periodic solution; existence and stability; upper and lower solutions; maximal and minimal solutions;

D O I：

10.1016/S0362-546X(00)85031-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and stability of periodic solutions for a class of coupled system of parabolic equations in an unbounded domain which is either the whore space Rn or the exterior of a bounded domain are investigated. The methods used for the existence and stability of periodic solutions are extended with either Ω = Rn or Ω = Ωe.

引用

页码：523 / 535

页数：13

共 21 条

[11]

MAGINU J, 1979, J DIFFER EQUATIONS, V31, P130

[12] BOUNDEDNESS, PERIODICITY, AND ALMOST PERIODICITY OF SOLUTIONS OF SOME NONLINEAR PARABOLIC EQUATIONS [J].

NAKAO, M .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 19 (02) :371-385

[13]

Pao C.V., 1992, NONLINEAR PARABOLIC, DOI DOI 10.1007/978-1-4615-3034-3

[14] Periodic solutions of parabolic systems with nonlinear boundary conditions [J].

Pao, CV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 234 (02) :695-716

[15] Parabolic systems in unbounded domains I. Existence and dynamics [J].

Pao, CV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 217 (01) :129-160

[16] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF A PERIODIC REACTION-DIFFUSION SYSTEM OF A COMPETITOR MUTUALIST MODEL [J].

TINEO, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 108 (02) :326-341

[17] EXISTENCE OF GLOBAL COEXISTENCE STATE FOR PERIODIC COMPETITION DIFFUSION-SYSTEMS [J].

TINEO, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (04) :335-344

[18]

TSAI LY, 1977, B I MATH ACAD SINICA, V5, P219

[19]

Varga RS., 1962, Iterative analysis

[20] Global asymptotic behavior in a periodic competitor-competitor-mutualist parabolic system [J].

Zhao, XQ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (05) :551-568

← 1 2 3 →