A representation of solutions for a system of complex differential equations in the plane and periodic solutions

[ X ]

Tarih

2004

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Razmadze Mathematical Institute

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Exponential representation, Functional equation, Ordinary differential equation

Kaynak

Memoirs on Differential Equations and Mathematical Physics

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

33

Sayı

Künye