Matrix measure approach to Lyapunov-type inequalities for linear Hamiltonian systems with impulse effect

Kayar, Zeynep; Zafer, A.

doi:10.1016/j.jmaa.2016.03.043

Matrix measure approach to Lyapunov-type inequalities for linear Hamiltonian systems with impulse effect

Atıf İçin Kopyala

Kayar Z., Zafer A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.440, sa.1, ss.250-265, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 440 Sayı: 1
Basım Tarihi: 2016
Doi Numarası: 10.1016/j.jmaa.2016.03.043
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.250-265
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.