Lyapunov-Type Inequalities for Lidstone Boundary Value Problems on Time Scales

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Date

2020

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Springer-verlag Italia Srl

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Green Open Access

Yes

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5

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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.

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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

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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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