Glasnik matematički, Vol. 46 No. 1, 2011.
Original scientific paper
https://doi.org/10.3336/gm.46.1.13
Existence results on positive periodic solutions for impulsive functional differential equations
Yuji Liu
; A class of first order nonlinear functional differential equations with impulses is studied. It is shown that there exist one or two positive T-periodic solutions under certain assumptions, and no positive T-periodic solution under some other assumptions.
Abstract
A class of first order nonlinear functional differential equations with impulses is studied. It is shown that there exist one or two positive T-periodic solutions under certain assumptions, and no positive T-periodic solution under some other assumptions. Applications to some impulsive biological models and an example, which can not be covered by known results, are given to illustrate the main results.
Keywords
Impulse; first order functional differential equation; impulsive biological model; positive T-periodic solution; fixed point theorem
Hrčak ID:
68891
URI
Publication date:
13.6.2011.
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