CONVERGENCE OF SOLUTIONS OF AN IMPULSIVE DIFFERENTIAL SYSTEM WITH A PIECEWISE CONSTANT ARGUMENT

Oztepe, GİZEM

doi:10.1501/commua1_0000000806

CONVERGENCE OF SOLUTIONS OF AN IMPULSIVE DIFFERENTIAL SYSTEM WITH A PIECEWISE CONSTANT ARGUMENT

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.2, ss.115-129, 2017 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 66 Sayı: 2
Basım Tarihi: 2017
Doi Numarası: 10.1501/commua1_0000000806
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.115-129
Anahtar Kelimeler: Convergence of solutions, Impulsive differential system, Piecewise constant argument, ASYMPTOTIC CONSTANCY, EQUATIONS, DELAY
Ankara Üniversitesi Adresli: Evet

Özet

We prove the existence and uniqueness of the solutions of an impulsive differential system with a piecewise constant argument. Moreover, we obtain sufficient conditions for the convergence of these solutions and then prove that the limits of the solutions can be calculated by a formula.