On the smoothness of solutions of impulsive autonomous systems

Akhmet, MARAT

doi:10.1016/j.na.2004.08.028

On the smoothness of solutions of impulsive autonomous systems

Atıf İçin Kopyala

Akhmet M.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.60, sa.2, ss.311-324, 2005 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 60 Sayı: 2
Basım Tarihi: 2005
Doi Numarası: 10.1016/j.na.2004.08.028
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.311-324
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The aim of this paper is to investigate dependence of solutions on parameters for nonlinear autonomous impulsive differential equations. We will specify what continuous, differentiable and analytic dependence of solutions on parameters is, define higher order derivatives of solutions with respect to parameters and determine conditions for existence of such derivatives. The theorem of analytic dependence of solutions on parameters is proved. (C) 2004 Elsevier Ltd. All rights reserved.