Differential equations with state-dependent piecewise constant argument

AKHMET, MARAT; Buyukadali, Cemil

doi:10.1016/j.na.2010.01.050

Differential equations with state-dependent piecewise constant argument

AKHMET M., Buyukadali C.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.72, sa.11, ss.4200-4210, 2010 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 72 Sayı: 11
Basım Tarihi: 2010
Doi Numarası: 10.1016/j.na.2010.01.050
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.4200-4210
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations the existence and uniqueness of solutions, the existence of periodic solutions, and the stability of the zero solution are obtained. Appropriate examples are constructed. (C) 2010 Elsevier Ltd. All rights reserved.