On the Existence of Periodic Quasi Solutions for First Order Systems

dc.contributor.author	Vatsala, A. S.	en
dc.date.accessioned	2010-06-03T18:11:37Z	en
dc.date.available	2010-06-03T18:11:37Z	en
dc.date.issued	1982-09	en
dc.identifier.uri	http://hdl.handle.net/10106/2333	en
dc.description.abstract	Please note that the full text is embargoed 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.	en
dc.language.iso	en_US	en
dc.publisher	University of Texas at Arlington	en
dc.relation.ispartofseries	Technical Report;192	en
dc.subject	Lyapunov-Schmitt method	en
dc.subject	Upper and lower solutions	en
dc.subject	First order system	en
dc.subject	Monotone iterative technique	en
dc.subject.lcsh	Mathematics Research	en
dc.subject.lcsh	Nonlinear operators	en
dc.title	On the Existence of Periodic Quasi Solutions for First Order Systems	en
dc.type	Technical Report	en
dc.publisher.department	Department of Mathematics	en