Periodic solutions of a resonant third-order equation

被引：10

作者：

Amster, P

De Nápoli, P

Mariani, MC

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, RA-1917 Buenos Aires, DF, Argentina

[3] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 03期

关键词：

resonant equations; periodic conditions; coincidence degree;

D O I：

10.1016/j.na.2003.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of periodic solutions for a third-order equation of resonant type. Under suitable conditions we prove the existence of at least one periodic solution of the problem applying Mawhin coincidence degree theory. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：399 / 410

页数：12

共 10 条

[1]

EZEILO J, 1989, J MATH ANAL APPL, V143, P56

[2] RESONANT AND NONRESONANT OSCILLATIONS FOR SOME 3RD ORDER NONLINEAR ORDINARY DIFFERENTIAL-EQUATIONS [J].