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

Duru H., GULLE A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.157, sa.3, ss.667-675, 2004 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 157 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.08.100
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.667-675
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

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.