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

Date

2016-08-01

Author

Kayar, Zeynep
Zafer, Ağacık

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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.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/51556

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1016/j.jmaa.2016.03.043

Collections

Department of Mathematics, Article

Citation Formats

Z. Kayar and A. Zafer, “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, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51556.