Periodic solutions of neutral differential equation with multiple deviating arguments

Applied Mathematics and Computation

Volumn 156, Issue 3, 2004, Pages 705-717

  Lu, Shiping ^a   Ge, Weigao ^b  

^a ANHUI NORMAL UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Fredholm operator; K set contractive operator; Neutral differential equation; Periodic solution

Indexed keywords

MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; TIME VARYING SYSTEMS;

FREDHOLM OPERATORS; K-SET CONTRACTIVE OPERATORS; NEUTRAL DIFFERENTIAL EQUATIONS; PERIODIC SOLUTIONS;

DIFFERENTIAL EQUATIONS;

EID: 4344603720     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.06.004     Document Type: Article

References (10)

1. Hale J.K. Theory of Functional Differential Equations. 1977;Springer-Verlag, New York.
2. Kuang Y. Delay Differential Equations with Applications in Population Dynamics. 1993;Academic Press, New York.
3. Hui F., Li J. On the existence of periodic solutions of a neutral delay model of single-species population growth. J. Math. Anal. Appl. 259:2001;8-17.
4. Hale J.K., Mawhin J.L. Coincidence degree and periodic solutions of neutral equations. J. Diff. Eqns. 15:1975;295-307.
5. Zhang M. Periodic solution of linear and quasilinear neutral functional differential equations. J. Math. Anal. Appl. 189:1995;378-392.
6. Serra E. Periodic solutions for some nonlinear differential equations of neutral type. J. Nonlinear Anal., TMA. 17:1991;139-151.
7. Petryshyn W.V., Yu Z.S. Existence theorems for higher order nonlinear periodic boundary value problems. Nonlinear Anal. 9:1982;943-969.
8. Deimling K. Nonlinear Functional Analysis. 1985;Springer-Verlag, New York.
9. Guo D. Nonlinear Functional Analysis. 1985;Shandong Science and Technology Press, Jinan, China.
10. Gaines R.E., Mawhin J.L. Coincidence Degree and Nonlinear Differential Equation. Lecture Notes in Math. vol. 568:1977;Springer-Verlag, New York.