scholarly journals Existence of solutions for a second order discrete boundary value problem with mixed periodic boundary conditions

2020 ◽  
Vol 102 ◽  
pp. 106138 ◽  
Author(s):  
Lingju Kong ◽  
Min Wang
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Periodic Boundary Conditions ◽  
Second Order ◽  
Discrete Boundary Value Problem

scholarly journals Solvability of a fourth order boundary value problem with periodic boundary conditions

1988 ◽  
Vol 11 (2) ◽  
pp. 275-284
Author(s):  
Chaitan P. Gupta
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Existence And Uniqueness ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Elastic Beam ◽  
Periodic Boundary Conditions ◽  
Uniqueness Of Solutions

Fourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value problems that arise in the equilibrium of an elastic beam depending on how the ends of the beam are supported. This paper concerns the existence and uniqueness of solutions of the fourth order boundary value problems with periodic boundary conditions.

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 Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

1995 ◽  
Vol 18 (4) ◽  
pp. 757-764 ◽  
Author(s):  
Juan J. Nieto
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Periodic Boundary Value Problem ◽  
Extremal Solutions ◽  
Monotone Method

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.

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