RESEARCH COMMONS
LIBRARY

Existence and Monotone Method for Periodic Solutions of First Order Differential Equations

ResearchCommons/Manakin Repository

Existence and Monotone Method for Periodic Solutions of First Order Differential Equations

Show simple item record

dc.contributor.author Leela, S. en
dc.contributor.author Lakshmikantham, V. en
dc.date.accessioned 2010-06-11T17:26:32Z en
dc.date.available 2010-06-11T17:26:32Z en
dc.date.issued 1981-09 en
dc.identifier.uri http://hdl.handle.net/10106/2485 en
dc.description.abstract An attempt was made recently in [3] to combine fruitfully the two basic techniques, namely the method of upper and lower solutions and the Lyapunov-Schmitt method to investigate the existence of periodic solutions of second order nonlinear boundary value problems. in this paper, we utilize this fruitful approach to study existence of periodic solutions of first order nonlinear differential equations. We also develope monotone iterative technique for obtaining multiple periodic solutions which are obtained as limits of monotone sequences. Since each member of these sequences is a periodic solution of a linear differential equation of first order which can explicitly be computed, the importance of the technique needs no emphasis. Moreover, it is also clear from our proofs that the method of approach is applicable to study other problems at resonance. For other methods of proving existence of periodic solutions see [2,4,5]. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;168 en
dc.subject upper and lower solutions en
dc.subject Lyapunov-Schmitt method en
dc.subject Second order nonlinear BVP en
dc.subject Periodic solutions en
dc.subject Monotone method en
dc.subject.lcsh Mathematics Research en
dc.title Existence and Monotone Method for Periodic Solutions of First Order Differential Equations en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

Files in this item

Files Size Format View Description
MathTechReport168.pdf 419.8Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show simple item record

Browse

My Account

Statistics

About Us