A New Proof for Lyapunov-Type Inequality on the Fractional Boundary Value Problem-Reference-Cited by-同舟云学术

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A New Proof for Lyapunov-Type Inequality on the Fractional Boundary Value Problem

Published:2020-12-26 Issue:1 Volume:13 Page:29
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Zou Yumei^ORCID,Zhang Xin,Li Hongyu

Abstract

In this article, some new Lyapunov-type inequalities for a class of fractional boundary value problems are established by use of the nonsymmetry property of Green’s function corresponding to appropriate boundary conditions.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/1/29/pdf

Reference26 articles.

1. Probleme général de la stabilité du mouvement, (French Translation of a Russian paper dated 1893);Lyapunov;Ann. Fac. Sci. Univ. Toulouse,1907

2. Lyapunov inequalities and their applications;Brown,2000

3. Lyapunov-Type Inequalities with Applications to Eigenvalue Problems;Pinasco,2013

4. Lyapunov inequalities for differential and difference equations;Cheng;Fasc. Math.,1991

5. Recent developments of Lyapunov-type inequalities;Tiryaki;Adv. Dyn. Syst. Appl.,2010

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