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Periodic solutions of an iterative functional differential equation with variable coefficients
Author(s) -
Zhao Hou Yu,
Liu Jia
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3991
Subject(s) - mathematics , uniqueness , fixed point theorem , differential equation , variable (mathematics) , fixed point , functional differential equation , mathematical analysis , iterative method , functional equation , mathematical optimization
In this paper, we use Krasnoselskii's fixed point theorem to study the existence and uniqueness of periodic solutions of an iterative functional differential equationx ′ ( t ) = c 1 ( t ) x ( t ) + c 2 ( t ) x [ 2 ] ( t ) + … + c n ( t ) x [ n ] ( t ) + F ( t ) .Copyright © 2016 John Wiley & Sons, Ltd.