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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
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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
, pp. 250–265, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51556.