Work

Structural stability of evolution families in finite-dimensional spaces

Year: 2025

Type: article

Abstract: We prove that under some appropriate conditions, exponential dichotomy of an evolution family is implied by a weaker concept of structural stability . We extend precedent results, which are only valid in the case of differential equations with bounded operators. In addition, we establish new characterizations of exponential stability and exponential expansiveness, in terms of topological equivalence. Our proofs are new even in the particular case of differential equations.

Source: Journal of Differential Equations

DOI: 10.1016/j.jde.2025.02.010

Authors: Nicolae Lupa, Kenneth J. Palmer, Liviu Horia Popescu

Institutions: Politehnica University of Timisoara, National Taiwan University, University of Oradea

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

OpenAlex ID: W4407159356

FWCI:

Cites: 11

Cited by:

Related to: 10