Periodic solutions of an iterative functional differential equation with variable coefficients | Zendy

Zhao Hou Yu | Zendy; Liu Jia | Zendy

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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.

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