ANTI-PERIODIC SOLUTIONS TO RAYLEIGH-TYPE EQUATIONS WITH TWO DEVIATING ARGUMENTS

被引：0

作者：

Feng, Meiqiang ^{[1
]}

Zhang, Xuemei ^{[2
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

[2] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Rayleigh equation; anti-periodic solution; deviating argument; PERIODIC-SOLUTIONS; KIND;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the Rayleigh equation with two deviating arguments x '' (t) + f(x' (t)) + g(1) (t, x(t - tau(1)(t))) + g(2)(t, x(t - tau(2)(t))) = e(t) is studied. By using Leray-Schauder fixed point theorem, we obtain the existence of anti-periodic solutions to this equation. The results are illustrated with an example, which can not be handled using previous results.

引用

页数：8

共 30 条

[1] HALF-STRING OSCILLATOR APPROACH TO STRING FIELD-THEORY (GHOST SECTOR-I) [J].

ABDURRAHMAN, A ;

ANTON, F ;

BORDES, J .

NUCLEAR PHYSICS B, 1993, 397 (1-2) :260-282

[2] Boundary flows in general coset theories [J].

Ahn, C ;

Rim, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (13) :2509-2525

[3] Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities [J].

Aizicovici, S ;

McKibben, M ;

Reich, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (02) :233-251

[4]

Burton T. A., 2005, Stability and periodic solutions of ordinary and functional differential equations

[5]

Cabada A, 2004, ADV DIFFER EQU-NY, V4, P291

[6]

Chen HL, 1996, J COMPUT MATH, V14, P32

[7] 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

[8] Lacunary interpolation by antiperiodic trigonometric polynomials [J].

Delvos, FJ ;

Knoche, L .

BIT, 1999, 39 (03) :439-450

[9] Simple and double eigenvalues of the Hill operator with a two-term potential [J].

Djakov, P ;

Mityagin, B .

JOURNAL OF APPROXIMATION THEORY, 2005, 135 (01) :70-104

[10] Spectral gaps of the periodic Schrodinger operator when its potential is an entire function [J].

Djakov, P ;

Mityagin, B .

ADVANCES IN APPLIED MATHEMATICS, 2003, 31 (03) :562-596

← 1 2 3 →