Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points | Zendy

Lingxia Liu | Zendy

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Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points

Author(s) -

Lingxia Liu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/726076

Subject(s) - mathematics , functional equation , functional differential equation , differential equation , analytic function , universal differential equation , function (biology) , iterative method , mathematical analysis , first order partial differential equation , exact differential equation , mathematical optimization , evolutionary biology , biology

The existence of analytic solutions of an iterative functional differential equation is studied when the given functions are all analytic and when the given functions have regular points. By reducing the equation to another functional equation without iteration of the unknown function an existence theorem is established for analytic solutions of the original equation

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