Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay

Tunç C., Akyildiz F. T.

Journal of Mathematics, cilt.2024, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2024
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1155/2024/5924082
  • Dergi Adı: Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this article, we consider nonlinear neutral Volterra integro-diferential equations (NVIDEs) including infnite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVIDEs. Te new results of this article include sufcient conditions and the technique of the proofs is based on the Lyapunov-Krasovskiı̆ functional (LKF) approach. By this article, some results that can be found in the literature are extended and improved from the linear case to nonlinear cases and contributed.