Existence of positive periodic solutions of nonlinear neutral differential systems with variable delays
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In this work we use some mixed techniques of the Mawhin coincidence degree theory and fixed point theorem to prove the existence of positive periodic solutions of delay systems. As a consequence, we offer existence criteria and sufficient conditions for existence of periodic solutions to the systems with feedback control. When these results are applied to some special delay bio-mathematics models, some new results are obtained, and many known results are improved.
KeywordsCoincidence degree Fixed point theorem Positive periodic solutions Nonlinear neutral differential system Variable delay
Mathematics Subject Classification54H25 35B09 35B10 47H10
- 11.Lasalle, J., Lefschetz, S.: Stability by Lyapunov’s Direct Method. Academic, New York (1961)Google Scholar