Some specialties of the solutions of the differential equations in Banach space


Duru H. , GULLE A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.157, ss.667-675, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 157 Konu: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.08.100
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.667-675

Özet

In this paper we investigate the existence and uniqueness of solution of differential equation in Banach space under condition (1.2). The theorems which we proved had been investigated at first in the papers [Canada, Math. Bull. 2(1) (1959); Canada, Math. Bull. 1(1) (1958); Y.D. Mamedov, The Convergence of Iterations for Differential Equations in Banach Spaces, in: Convergent Methods of Ordinary Differential Equations, Naukova Dumka, Kiev, 1964 (Russian)] by other methods for special case. (C) 2003 Elsevier Inc. All rights reserved.

In this paper we investigate the existence and uniqueness of solution of differential equation in Banach space under condition (1.2). The theorems which we proved had been investigated at first in the papers [Canada, Math. Bull. 2(1) (1959); Canada, Math. Bull. 1(1) (1958); Y.D. Mamedov, The Convergence of Iterations for Differential Equations in Banach Spaces, in: Convergent Methods of Ordinary Differential Equations, Naukova Dumka, Kiev, 1964 (Russian)] by other methods for special case.