Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments

Mathematical and Computer Modelling

Volumn 45, Issue 3-4, 2007, Pages 378-386

  Peng, Lequn ^a  

^a HUNAN UNIVERSITY OF ARTS AND SCIENCE   (China)

Author keywords

Coincidence degree; Deviating argument; Duffing equation; Periodic solution

Indexed keywords

NONLINEAR EQUATIONS; NUMBER THEORY; PROBLEM SOLVING;

COINCIDENCE DEGREES; DEGREE THEORIES; DEVIATING ARGUMENTS; DUFFING EQUATIONS; PERIODIC SOLUTIONS;

DIFFERENTIAL EQUATIONS;

EID: 33750955287     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2006.05.012     Document Type: Article

References (9)

1. Burton T.A. Stability and Periodic Solution of Ordinary and Functional Differential Equations (1985), Academic Press, Orlando, FL
2. Hardy G.H., Littlewood J.E., and Polya G. Inequalities (1964), Cambridge University Press, London
3. Mawhin J. Periodic solutions of some vector retarded functional differential equations. J. Math. Anal. Appl. 45 (1974) 588-603
4. Gaines R.E., and Mawhin J. Coincide degree and nonlinear differential equations. Lecture Notes in Math. vol. 568 (1977), Spring-Verlag
5. Lu S., and Ge W. Periodic solutions for a kind of Liénard equations with deviating arguments. J. Math. Anal. Appl. 249 (2004) 231-243
6. Lu S., and Ge W. Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument. Nonlinear Anal. 56 (2004) 501-514
7. ″ + g (t, x (t - τ (t))) = p (t). Chinese Sci. Bull. 39 (1994) 201-203
8. Wang G. A priori bounds for periodic solutions of a delay Rayleigh equation. Appl. Math. Lett. 12 (1999) 41-44
9. Liu B., and Huang L. Periodic solutions for a class of forced Liénard-type equations. Acta Math. Appl. Sin., English Series 21 (2005) 81-92