کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631285 1340620 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of analytic solutions of an iterative functional equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Existence of analytic solutions of an iterative functional equation
چکیده انگلیسی

This paper is concern analytic solutions of an iterative functional equation of the formf(p(z)+q(f(z)))=h(f(z)),z∈C.f(p(z)+q(f(z)))=h(f(z)),z∈C.Byconstructing a convergent power series solution of an auxiliary equationg(ϕ(α2z)-p(ϕ(αz)))=h(g(ϕ(αz)-p(ϕ(z)))),z∈C,g(ϕ(α2z)-p(ϕ(αz)))=h(g(ϕ(αz)-p(ϕ(z)))),z∈C,analytic solutions of the original equation are obtained. We discuss not only these α appeared in the auxiliary equation at the hyperbolic case 0 < ∣α∣ ≠ 1 and resonance, i.e., at a root of the unity, but also those α near resonance (i.e., near a root of the unity) under Brjuno condition.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 17, 1 May 2011, Pages 7245–7257
نویسندگان
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