On the existence and uniqueness of periodic solutions for Liénard-type equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 12, 1996, Pages 1463-1470

  Zhou, Jin ^a  

^a CHONGQING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Existence; Li nard equations; Limit cycle; Periodic solutions; Uniqueness

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

LIENARD EQUATIONS; LIMIT CYCLES; PERIODIC SOLUTIONS;

NUMERICAL ANALYSIS;

EID: 0042542459     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00133-G     Document Type: Article

References (6)

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2. 2 + g(x) = 0, J. math. Analysis Applic. 176, 11-23 (1993).
3. ZHANG ZHI-FEN, DING TONG-REN et al., Qualitative Theory of Differential Equations. American Mathematical Society, Providence, RI. (Transl. Math. Monogr, Vol. 101.)
4. ZHANG ZHI-FEN, DING TONG-REN et al., Qualitative Theory of Differential Equations. American Mathematical Society, Providence, RI. (Transl. Math. Monogr, Vol. 101.)
5. SANDQVIST A. & ANDERSEN K. M., A necessary and sufficient condition for the existence of a unique nontrivial periodic solution to a class of equations of Liénards type, J. diff. Eqns 46, 356-378 (1982).
6. AIBERCHT F. & VILLARI G., On the uniquenss of the periodic solution of certain Liénard equations, Nonlinear Analysis 11, 1267-1277 (1987).