Work

Approximation results for abstract inverse problem in impulsive differential equation

Year: 2024

Type: article

Abstract: In this article, we address the approximation of solutions for an inverse problem associated with an abstract differential equation incorporating non-instantaneous impulsive effects. By utilizing the Fredholm equation of the second kind, semigroup theory, semi-discretization technique, and finite difference schemes, we derive an approximate solution. Our approach establishes the equivalence between the original inverse problem and the Fredholm equation, and demonstrates the existence of a solution to the inverse problem. Furthermore, we explore several approximation results. Finally, we provide an illustrative example to highlight the main findings.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024161

Authors: Santosh Ruhil, Muslim Malik

Institution: Indian Institute of Technology Mandi

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402417198

FWCI: 0.765

Cites: 32

Cited by: 1

Related to: 10