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On the Existence of Periodic Quasi Solutions for First Order Systems

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On the Existence of Periodic Quasi Solutions for First Order Systems

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Title: On the Existence of Periodic Quasi Solutions for First Order Systems
Author: Vatsala, A. S.
Abstract: Recently the method of upper and lower solutions and Lyapunov-Schmitt method have been fruitfully employed to prove the existence of periodic solutions for scalar first and second order equations in [2,4]. In this paper we shall use this technique to prove the existence of periodic solutions for first order systems which is the generalisation of Müller's result [3] for periodic case. We shall also develop monotone iterative technique to obtain coupled minimal and maximal periodic quasisoltions for system of first order equations. Further, under a uniqueness assumption, our results yield a unique periodic solution for the first order system.
URI: http://hdl.handle.net/10106/2333
Date: 1982-09

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