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Existence and Approximate Controllability of Random Impulsive Neutral Functional Differential Equation with Finite Delay

Year: 2024

Type: article

Abstract: This study investigates second-order neutral functional differential equations with delays, prevalent in various scientific and engineering fields. These equations, characterized by their neutral nature and delays, present unique challenges within Banach spaces. The research focuses on the existence and approximate controllability of solutions, using advanced mathematical tools like cosine family theory and the Leray-Schauder theorem to establish rigorous solution conditions. These theoretical results are empirically validated through practical examples, enhancing understanding of real-life behavior and bridging theory with practice. The study’s findings advance the understanding of delayed feedback systems, facilitating effective control strategies and practical engineering solutions, thereby contributing significantly to dynamical systems and control theory.

Source: Communications on Applied Nonlinear Analysis

DOI: 10.52783/cana.v32.1619

Author: Tharmalingam Gunasekar

Institutions: Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Indian Institute of Technology Jodhpur

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402806779

FWCI: 2.343

Cites:

Cited by: 3

Related to: 10