scholarly journals Lyapunov-type inequality for a fractional boundary value problem with natural conditions

SeMA Journal ◽  
2017 ◽  
Vol 75 (1) ◽  
pp. 157-162 ◽  
Author(s):  
Assia Guezane-Lakoud ◽  
Rabah Khaldi ◽  
Delfim F. M. Torres
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Type Inequality ◽  
Fractional Boundary Value Problem ◽  
Natural Conditions ◽  
Lyapunov Type Inequality

Lyapunov-type inequality for an anti-periodic fractional boundary value problem

2017 ◽  
Vol 20 (1) ◽  
Author(s):  
Rui A. C. Ferreira
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Type Inequality ◽  
Periodic Boundary Conditions ◽  
Fractional Boundary Value Problem ◽  
Research Directions ◽  
Lyapunov Type Inequality

AbstractIn this note we present a Lyapunov-type inequality for a fractional boundary value problem with anti-periodic boundary conditions, that we show to be a generalization of a classical one. Moreover, we address the issue of further research directions for such type of inequalities.

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

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 29
Author(s):  
Yumei Zou ◽  
Xin Zhang ◽  
Hongyu Li
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Boundary Value ◽  
Type Inequality ◽  
Fractional Boundary Value Problem ◽  
Lyapunov Type Inequality ◽  
Fractional Boundary Value Problems

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.

scholarly journals Lyapunov-type inequality for a Riemann-Liouville type fractional boundary value problem with anti-periodic boundary conditions

2021 ◽  
Vol 40 (4) ◽  
pp. 873-884
Author(s):  
Jagan Mohan Jonnalagadda ◽  
Debananda Basua
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Type Inequality ◽  
Periodic Boundary Conditions ◽  
Fractional Boundary Value Problem ◽  
Liouville Type ◽  
Well Posed ◽  
Lyapunov Type Inequality

In this article, we establish a Lyapunov-type inequality for a two-point Riemann-Liouville type fractional boundary value problem associated with well-posed anti-periodic boundary conditions. As an application, we estimate a lower bound for the eigenvalue of the corresponding fractional eigenvalue problem.

scholarly journals Impulsive Boundary Value Problems for Planar Hamiltonian Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zeynep Kayar ◽  
Ağacık Zafer
Keyword(s):  
Boundary Value Problem ◽  
Hamiltonian Systems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Type Inequality ◽  
Existence And Uniqueness Theorem ◽  
Uniqueness Of Solutions ◽  
Impulsive Boundary Value Problems ◽  
Impulsive Boundary Value Problem ◽  
Lyapunov Type Inequality

We give an existence and uniqueness theorem for solutions of inhomogeneous impulsive boundary value problem (BVP) for planar Hamiltonian systems. Green's function that is needed for representing the solutions is obtained and its properties are listed. The uniqueness of solutions is connected to a Lyapunov type inequality for the corresponding homogeneous BVP.

scholarly journals Lyapunov Type Inequality for an Anti-Periodic Conformable Boundary Value Problem

2021 ◽  
Vol 45 (02) ◽  
pp. 289-298
Author(s):  
JAGAN MOHAN JONNALAGADDA ◽  
DEBANANDA BASUA ◽  
DIPAK KUMAR SATPATHI
Keyword(s):  
Lower Bound ◽  
Eigenvalue Problem ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Type Inequality ◽  
Periodic Boundary Conditions ◽  
Lyapunov Type Inequality

In this article, we present a Lyapunov-type inequality for a conformable boundary value problem associated with anti-periodic boundary conditions. To demonstrate the applicability of established result, we obtain a lower bound on the eigenvalue of the corresponding eigenvalue problem.

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