LIENARD TYPE P-LAPLACIAN NEUTRAL RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

被引：0

作者：

Anane, Aomar ^{[1
]}

Chakrone, Omar ^{[1
]}

Moutaouekkil, Loubna ^{[1
]}

机构：

[1] Univ Mohamed I, Fac Sci, Dept Math & Informat, Oujda, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Periodic solution; neutral Rayleigh equation; Lienard equation; Deviating argument; p-Laplacian; Manasevich-Mawhin continuation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on Manasevich-Mawhin continuation theorem, we prove the existence of periodic solutions for Lienard type p-Laplacian neutral Rayleigh equations with a deviating argument, (phi(p)(x(t) - cx(t - sigma))')' + f(x(t))x'(t) + g(t, x(t - tau(t))) = e(t). An example is provided to illustrate our results.

引用

页数：8

共 6 条

[1] Periodic solutions for Lienard type p-Laplacian equation with a deviating argument
Liu, Bingwen
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (01) : 13 - 18
[2] Lu SP, 2003, APPL ANAL, V82, P393
[3] Periodic solutions for nonlinear systems with p-Laplacian-like operators
Manasevich, R
Mawhin, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 145 (02) : 367 - 393
[4] Periodic solutions for p-Laplacian neutral Rayleigh equation with a deviating argument
Peng, Shiguo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1675 - 1685
[5] PERIODIC-SOLUTIONS OF LINEAR AND QUASI-LINEAR NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS
ZHANG, M
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (02) : 378 - 392
[6] Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments
Zhu, Yanling
Lu, Shiping
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 377 - 385

← 1 →