Glasnik matematički, Vol. 46 No. 1, 2011.
Izvorni znanstveni članak
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.
Sažetak
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.
Ključne riječi
Impulse; first order functional differential equation; impulsive biological model; positive T-periodic solution; fixed point theorem
Hrčak ID:
68891
URI
Datum izdavanja:
13.6.2011.
Posjeta: 1.107 *