ANTI-PERIODIC SOLUTIONS FOR A CLASS OF 2nTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DELAYS

被引:0
作者
Li, Yongkun [1 ]
Zhang, Tianwei [1 ]
机构
[1] Yunnan Univ, Dept Mat, Kunming, Yunnan 650091, Peoples R China
关键词
Anti-periodic solution; 2nth-order equation; coincidence degree;
D O I
10.1142/S1793557111000502
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By applying a fixed point theorem of coincidence degree theory, some criteria are established for the existence of anti-periodic solutions to a class of 2nth-order nonlinear differential equations with delays in the form of [GRAPHIC] We extend some recent results to obtain a completely new result. Finally, some examples are given to illustrate our result.
引用
收藏
页码:627 / 641
页数:15
相关论文
共 32 条
[1]   ON A CLASS OF 2ND-ORDER ANTIPERIODIC BOUNDARY-VALUE-PROBLEMS [J].
AFTABIZADEH, AR ;
AIZICOVICI, S ;
PAVEL, NH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (02) :301-320
[2]   Oscillation criteria for certain fourth order nonlinear functional differential equations [J].
Agarwal, Ravi P. ;
Grace, Said R. ;
Manoilovic, Jelena V. .
MATHEMATICAL AND COMPUTER MODELLING, 2006, 44 (1-2) :163-187
[3]   Oscillating solutions of a nonlinear fourth order ordinary differential equation [J].
Amster, Pablo ;
Mariani, Maria Cristina .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) :1133-1141
[4]  
Bellman R, 1963, MATH SCI ENG, V6
[5]   Periodic solutions of some fourth-order nonlinear differential equations [J].
Bereanu, Cristian .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) :53-57
[6]   Periodic solutions for extended Fisher-Kolmogorov and Swift-Hohenberg equations by truncature techniques [J].
Carriao, P. C. ;
Faria, L. F. O. ;
Miyagaki, O. H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (11) :3076-3083
[7]  
Chen HL, 1996, J COMPUT MATH, V14, P32
[8]   Anti-periodic solutions for fully nonlinear first-order differential equations [J].
Chen, Yuqing ;
Nieto, Juan J. ;
O'Regan, Donal .
MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (9-10) :1183-1190
[9]   Lacunary interpolation by antiperiodic trigonometric polynomials [J].
Delvos, FJ ;
Knoche, L .
BIT, 1999, 39 (03) :439-450
[10]  
Driver R. D., 2012, ORDINARY DELAY DIFFE, V20