MULTIPLE PERIODIC SOLUTIONS FOR A FIRST ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATION WITH APPLICATIONS TO POPULATION DYNAMICS

TitleMULTIPLE PERIODIC SOLUTIONS FOR A FIRST ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATION WITH APPLICATIONS TO POPULATION DYNAMICS
Publication TypeJournal Article
Year of Publication2008
AuthorsPADHI, SESHADEV, QIAN, CHUANXI, SRIVASTAVA, SHILPEE
Volume12
Issue3
Start Page341
Pagination11
Date Published2008
ISSN1083-2564
AMS34C10, 34C27, 34K13
Abstract

In this paper, we use Leggett-Williams multiple fixed point theorem to obtain several different sufficient conditions for the existence of at least three positive periodic solutions for the first order functional differential equations of the form $${ y′ (t) = −a(t)y(t) + λf(t, y(h(t))). }$$ Some applications to mathematical ecological models and population models are also given.

URLhttp://www.acadsol.eu/en/articles/12/3/8.pdf
Refereed DesignationRefereed
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