Periodic solutions for functional-differential equations of mixed type

被引:3
作者
Buica, Adriana [1 ]
Ilea, Veronica Ana [1 ]
机构
[1] Univ Babes Bolyai, Dept Appl Math, R-3400 Cluj Napoca, Romania
关键词
functional-differential equations of mixed type; periodic solutions; coincidence degree;
D O I
10.1016/j.jmaa.2006.08.009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study the existence of omega-periodic solutions for some functional-differential equations of mixed type. Among the main results are the averaging principle and existence theorems for some equations with homogeneous nonlinearities. We use here the coincidence degree theory of Mawhin. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:576 / 583
页数:8
相关论文
共 14 条
[1]   Averaging methods for finding periodic orbits via Brouwer degree [J].
Buica, A ;
Llibre, J .
BULLETIN DES SCIENCES MATHEMATIQUES, 2004, 128 (01) :7-22
[2]  
BUICA A, 2000, PURE MATH APPL, V11, P39
[3]  
Buica A., 2001, Principii de coincidenta si aplicatii
[4]   CONTINUATION THEOREMS FOR PERIODIC PERTURBATIONS OF AUTONOMOUS SYSTEMS [J].
CAPIETTO, A ;
MAWHIN, J ;
ZANOLIN, F .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 329 (01) :41-72
[5]  
DARZU VA, 2004, MATH CLUJ, V46, P6
[6]  
DARZU VA, 2002, STUD U BABES BOLYAI, V47, P43
[7]  
Darzu-Ilea V. A., 2004, Fixed Point Theory, V5, P103
[8]   Periodic solutions for differential equations at resonance with unbounded nonlinearities [J].
Fu, XL ;
Zhang, SN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (03) :755-767
[9]  
Gaines R. E., 1977, Coincidence degree, and nonlinear differential equations
[10]  
Liu B., 2005, J MATH ANAL APPL, V309, P313