On the Qualitative Analysis of Volterra Iddes With Infinite Delay
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Prairie View A & M Univ, dept Mathematics
Abstract
This investigation deals with a nonlinear Volterra integro-differential equation with infinite retardation (IDDE). We will prove three new results on the stability, uniformly stability (US) and square integrability (SI) of solutions of that IDDE. The proofs of theorems rely on the use of an appropriate Lyapunov-Krasovskii functional (LKF). By the outcomes of this paper, we generalize and obtain some former results in mathematical literature under weaker conditions.
Description
Korkmaz, Erdal/0000-0002-6647-9312
ORCID
Keywords
Nonlinear, Lyapunov-Krasovskii Functional, Volterra Idde, Stability, Uniformly Stability, Square Integrability
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
N/A
Source
Volume
15
Issue
1
Start Page
446
End Page
457