scholarly journals Existence of solutions of multi-point boundary value problems on time scales at resonance

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Junfang Zhao ◽  
Baozeng Chu ◽  
Hairong Lian
Keyword(s):  
Boundary Value Problems ◽  
Time Scales ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Point Boundary ◽  
At Resonance

scholarly journals Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 126
Author(s):  
Wei Zhang ◽  
Wenbin Liu
Keyword(s):  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Existence Results ◽  
Infinite Interval ◽  
Point Boundary ◽  
At Resonance ◽  
The Given

This paper aims to investigate a class of fractional multi-point boundary value problems at resonance on an infinite interval. New existence results are obtained for the given problem using Mawhin’s coincidence degree theory. Moreover, two examples are given to illustrate the main results.

scholarly journals Solvability of Three-Point Boundary Value Problems at Resonance with ap-Laplacian on Finite and Infinite Intervals

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Hairong Lian ◽  
Patricia J. Y. Wong ◽  
Shu Yang
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Term ◽  
Order Differential Equation ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Point Boundary ◽  
First Order ◽  
At Resonance ◽  
Infinite Intervals

Three-point boundary value problems of second-order differential equation with ap-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.

scholarly journals First-Order Three-Point Boundary Value Problems at Resonance Part III

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Mesliza Mohamed ◽  
Bevan Thompson ◽  
Muhammad Sufian Jusoh
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Implicit Function Theorem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Implicit Function ◽  
Point Boundary ◽  
First Order ◽  
At Resonance

The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.

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