Affiliation:
1. Department of Mathematics, Northwest Normal University, Lanzhou, People’s Republic of China
Abstract
The propose of the paper is devoted to study the existence of ?-periodic
solutions for second order delay differential equation in abstract Banach
space. Firstly, we build a new maximum principle for the ?-periodic
solutions of the corresponding linear equation. Secondly, with the help of
this maximum principle, we study the existence of the minimal and maximal
periodic solutions for our concerns problem by means of perturbation method
and monotone iterative technique of the lower and upper solutions. In
addition, an example is presented to show the application of our main
results.
Publisher
National Library of Serbia
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