Lyapunov-Type Inequalities for Lidstone Boundary Value Problems on Time Scales
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Date
2020
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Journal ISSN
Volume Title
Publisher
Springer-verlag Italia Srl
Open Access Color
Green Open Access
Yes
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5
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4
Publicly Funded
No
Abstract
In this paper, we establish new Hartman and Lyapunov-type inequalities for even-order dynamic equations x.2n (t) + (-1)n-1q(t) xs (t) = 0 on time scales T satisfying the Lidstone boundary conditions x.2i (t1) = x.2i (t2) = 0; t1, t2. [t0,8) T for i = 0, 1,..., n - 1. The inequalities obtained generalize and complement the existing results in the literature.
Description
Keywords
Time scale, Dynamic equation, Lyapunov-type inequalities, Boundary value problem, Dynamic equations on time scales or measure chains, Applications of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, boundary value problem, time scale, Lyapunov-type inequalities, dynamic equation
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
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Q1
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Q2

OpenCitations Citation Count
3
Source
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Volume
114
Issue
2
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CrossRef : 1
Scopus : 3
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