On the structure of the set of bounded solutions on a periodic Lienard equation

被引：23

作者：

Campos, J ^{[1
]}

Torres, PJ ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-99-05046-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the dynamics of a class of second order periodic differential equations whose main feature is a monotone nonlinearity. It is proved that the set of bounded solutions is homeomorphic to the graph of a decreasing function.

引用

页码：1453 / 1462

页数：10

共 8 条

[1]

BROWN M, 1985, HOUSTON J MATH, V11, P455

[2] Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems [J].

Campos, J ;

Ortega, R ;

Tineo, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 138 (01) :157-170

[3] PERIODIC-SOLUTIONS OF SOME LIENARD EQUATIONS WITH SINGULARITIES [J].

HABETS, P ;

SANCHEZ, L .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (04) :1035-1044

[4] ON PERIODIC-SOLUTIONS OF NONLINEAR DIFFERENTIAL-EQUATIONS WITH SINGULARITIES [J].

LAZER, AC ;

SOLIMINI, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (01) :109-114

[5] Dynamics of a periodic differential equation with a singular nonlinearity of attractive type [J].

MartinezAmores, P ;

Torres, PJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (03) :1027-1039

[6] Periodic solutions of a Newtonian equation: Stability by the third approximation [J].

Ortega, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 128 (02) :491-518

[7] MASSERAS CONVERGENCE THEOREM FOR PERIODIC NONLINEAR DIFFERENTIAL-EQUATIONS [J].

SMITH, RA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 120 (02) :679-708

[8] EXISTENCE OF ASYMPTOTICALLY STABLE PERIODIC-SOLUTIONS OF A FORCED EQUATION OF LIENARD TYPE [J].

ZITAN, A ;

ORTEGA, R .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (08) :993-1003

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