A representation of solutions for a system of complex differential equations in the plane and periodic solutions
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Tarih
2004
Yazarlar
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