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

Koca K.Çelebi A.O.2020-06-252020-06-25200415120015https://hdl.handle.net/20.500.12587/1793In 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.eninfo:eu-repo/semantics/closedAccessExponential representationFunctional equationOrdinary differential equationA representation of solutions for a system of complex differential equations in the plane and periodic solutionsArticle33951012-s2.0-85070318177Q4