SOLUTION ESTIMATES AND STABILITY TESTS FOR NONLINEAR DELAY INTEGRO-DIFFERENTIAL EQUATIONS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.2022, sa.68, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2022 Sayı: 68
- Basım Tarihi: 2022
- Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler:  , Lyapunov-Krasovskii functions, delay integro-differential equation, qualitative properties, DIFFERENTIAL EQUATIONS, EXPONENTIAL STABILITY, BOUNDEDNESS, 2ND-ORDER, SYSTEMS
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In this article, we examine various qualitative features of solutions of a nonlinear delay integro-differential equation. We prove three new theorems which include sufficient conditions on asymptotic stability (AS), integrability, and boundedness of solutions, using a suitable Lyapunov-Krasovskii functional. We present examples that show applications of our results.