Positive periodic solutions of impulsive functional differential equations with a parameter
Title:
Positive periodic solutions of impulsive functional differential equations with a parameter
Author:
Yanqin Wang Qingwei Tu Qiang Wang Chao Hu
Appeared in:
Acta mathematica Universitatis Comenianae
Paging:
Volume LXXX (2011) nr. 1 pages 31-38
Year:
2011
Contents:
By using a fixed point theorem ofstrict-set-contraction, some criteria are established for theexistence of positive periodic solutions of the following impulsivefunctional differential equations with a parameter$$egin{array}{ll} dot{x}(t) = -a(t)f(t,x(t))x(t) + lambda g(t,x_t, x(t-au(t,x(t))),& t in R, mbox{and} t eq t_k, \ x(t^{+}_{k})-x(t^{-}_{k}) = I_k(t_k,x(t_k - au (t_k, x(t_k)))), & k in Z. end{array}ight.$$
Publisher:
Acta Mathematica Universitatis Comenianae (provided by DOAJ)