Work

On the robust stability of Volterra differential-algebraic systems

Year: 2024

Type: article

Abstract: In this paper, we deal with the robust stability of implicit differential-algebraic equations with the leading term of derivatives to be singular and the driving term to be a causal linear operator. First, we consider the solvability of linear and nonlinear equations and then investigate the robustness of this system under small perturbations. An $ L_p $ version of Bohl-Perron Theorems for these equations is also studied.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2024077

Authors: Nguyen Thu Ha, Tran Manh Cuong

Institution: Vietnam National University, Hanoi

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402678065

FWCI:

Cites: 21

Cited by:

Related to: 10