Matrix measure approach to Lyapunov-type inequalities for linear Hamiltonian systems with impulse effect
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.440, no.1, pp.250-265, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 440 Issue: 1
- Publication Date: 2016
- Doi Number: 10.1016/j.jmaa.2016.03.043
- Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.250-265
- Middle East Technical University Affiliated: Yes
Abstract
We present new Lyapunov-type inequalities for Hamiltonian systems, consisting of 2n-first-order linear impulsive differential equations, by making use of matrix measure approach. The matrix measure estimates of fundamental matrices of linear impulsive systems are crucial in obtaining sharp inequalities. To illustrate usefulness of the inequalities we have derived new disconjugacy criteria for Hamiltonian systems under impulse effect and obtained new lower bound estimates for eigenvalues of impulsive eigenvalue problems. (C) 2016 Elsevier Inc. All rights reserved.