A representation of solutions for a system of complex differential equations in the plane and periodic solutions
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Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Razmadze Mathematical Institute
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this article, first we will obtain a representation of the solutions for the system of complex differential equations wz = A(z, z)w wz = B(z, z)w, A, B ? C1 (G), which are defined in a simply-connected domain G ? C containing z0 = 0 and satisfying the functional relations w (z1 + z2) = w (z1) + w (z2), w (0) = 1; z1, z2, z1 + z2 ? G. Then we will discuss the conditions under which the solutions of the system are periodic. © 2004, Razmadze Mathematical Institute. All rights reserved.
Description
Keywords
Exponential representation, Functional equation, Ordinary differential equation
Journal or Series
Memoirs on Differential Equations and Mathematical Physics
WoS Q Value
Scopus Q Value
Q4
Volume
33
