ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH AND WITHOUT RETARDATION

Graef J. R., Tunç O.

Journal of Integral Equations and Applications, cilt.33, sa.3, ss.289-300, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1216/jie.2021.33.289
  • Dergi Adı: Journal of Integral Equations and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.289-300
  • Anahtar Kelimeler: asymptotic stability, boundedness, integrability, Lyapunov–Krasovskii type functionals, retardation, Volterra integro-differential equations
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Asymptotic stability, uniform stability, integrability, and boundedness of solutions of Volterra integrodifferential equations with and without constant retardation are investigated using a new type of Lyapunov– Krasovskii functionals. An advantage of the new functionals used here is that they eliminate using Gronwall’s inequality. Compared to related results in the literature, the conditions here are more general, simple, and convenient to apply. Examples to show the application of the theorems are included.