Analytic Solutions of an Iterative Functional Differential Equation near Resonance | Zendy

Tongbo Liu | Zendy; Hong Li | Zendy

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Analytic Solutions of an Iterative Functional Differential Equation near Resonance

Author(s) -

Tongbo Liu,

Hong Li

Publication year - 2009

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2009/145213

Subject(s) - mathematics , iterated function , invertible matrix , first order partial differential equation , differential equation , mathematical analysis , analytic function , transformation (genetics) , functional equation , function (biology) , liénard equation , class (philosophy) , universal differential equation , order (exchange) , pure mathematics , exact differential equation , biochemistry , chemistry , finance , evolutionary biology , artificial intelligence , biology , computer science , economics , gene

We investigate the existence of analytic solutions of a class of second-order differential equations involving iterates of the unknown function ()+()=(+()) in the complex field ℂ. By reducing the equation with the Schröder transformation to the another functional differential equation without iteration of the unknown function 2()()−()() + (())2(()−()) = (())3((2)−()), we get its local invertible analytic solutions

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