Advanced Impulsive Differential Equations with Piecewise Constant Arguments

Bereketoglu, HÜSEYİN; Seyhan, GİZEM; Ogun, ARZU

doi:10.3846/1392-6292.2010.15.175-187

Advanced Impulsive Differential Equations with Piecewise Constant Arguments

Bereketoglu H., Seyhan G., Ogun A.

MATHEMATICAL MODELLING AND ANALYSIS, cilt.15, sa.2, ss.175-187, 2010 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 15 Sayı: 2
Basım Tarihi: 2010
Doi Numarası: 10.3846/1392-6292.2010.15.175-187
Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.175-187
Anahtar Kelimeler: impulsive differential equation, differential equation with piecewise constant argument, oscillation, nonoscillation, periodicity, global asymptotic stability, PERIODIC-SOLUTIONS, DELAY, STABILITY, OSCILLATION, SYSTEMS
Ankara Üniversitesi Adresli: Evet

Özet

We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases.