POSITIVE PERIODIC SOLUTIONS FOR NONAUTONOMOUS IMPULSIVE NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS WITH TIME-VARYING DELAYS ON TIME SCALES

被引：0

作者：

Dai, Jinchun ^{[1
]}

Li, Yongkun ^{[1
]}

Zhang, Tianwei ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Periodic solution; neutral functional differential systems; time scale; strict-set-contraction; ASYMPTOTIC PERIODICITY; MONOTONE SEMIFLOWS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a fixed point theorem of strict-set-contraction, we prove the existence of positive periodic solutions for a class of nonautonomous impulsive neutral functional differential system with time-varying delays on time scales.

引用

页数：10

共 13 条

[1] Agarwal RP, 2003, NONLINEAR ANALYSIS AND APPLICATIONS : TO V. LAKSHMIKANTHAM ON HIS 80TH BIRTHDAY, VOLS.1 AND 2, P1
[2] [Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892
[3] Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[4] FIXED-POINT THEOREMS FOR MAPPINGS IN ORDERED BANACH-SPACES
CAC, NP
GATICA, JA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) : 547 - 557
[5] Guo D., 1984, Adv. Math. (China), V13, P294
[6] Periodic solutions for a neutral nonlinear dynamical equation on a time scale
Kaufmann, ER
Raffoul, YN
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (01) : 315 - 325
[7] Asymptotic periodicity, monotonicity, and oscillation of solutions of scalar neutral functional differential equations
Krisztin, T
Wu, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 199 (02) : 502 - 525
[8] Laksmikantham V., 1989, THEORY IMPULSIVE DIF
[9] MONOTONE SEMIFLOWS GENERATED BY FUNCTIONAL-DIFFERENTIAL EQUATIONS
SMITH, H
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 66 (03) : 420 - 442
[10] ASYMPTOTIC PERIODICITY OF SOLUTIONS TO A CLASS OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS
WU, JH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (02) : 355 - 363

← 1 2 →