SOLUTION ESTIMATES AND STABILITY TESTS FOR NONLINEAR DELAY INTEGRO-DIFFERENTIAL EQUATIONS

Pinelas S., Tunç O.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.2022, sa.68, 2022 (SCI-Expanded) identifier identifier

  • 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: &nbsp, 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.