Positive solutions for systems of nonlinear second-order multipoint boundary value problems

2013 ◽  
Vol 37 (16) ◽  
pp. 2502-2516 ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

scholarly journals Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Hongyu Li ◽  
Junting Zhang
Keyword(s):  
Boundary Value Problem ◽  
Positive Solution ◽  
Positive Solutions ◽  
Boundary Value ◽  
Global Bifurcation ◽  
Global Structure ◽  
Second Order ◽  
Bifurcation Method ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

We investigate in this paper the following second-order multipoint boundary value problem:-(Lφ)(t)=λf(t,φ(t)),0≤t≤1,φ′0=0,φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect to parameterλby using global bifurcation method. We also obtain the infinite interval of parameterλabout the existence of positive solution.

Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations

2010 ◽  
Vol 53 (3) ◽  
pp. 475-490
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Arguments ◽  
Multipoint Boundary ◽  
Monotone Iterative ◽  
Second Order Differential Equations ◽  
Multipoint Boundary Value Problems

AbstractIn this paper we shall discuss nonlinear multipoint boundary value problems for second order differential equations when deviating arguments depend on the unknown solution. Sufficient conditions under which such problems have extremal and quasi-solutions are given. The problem of when a unique solution exists is also investigated. To obtain existence results, a monotone iterative technique is used. Two examples are added to verify theoretical results.

scholarly journals Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed Jleli ◽  
Erdal Karapinar ◽  
Bessem Samet
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Coupled Fixed Point ◽  
Multipoint Boundary ◽  
Singular Fractional Differential Equations ◽  
Fractional Differential ◽  
Multipoint Boundary Value Problems

A class of nonlinear multipoint boundary value problems for singular fractional differential equations is considered. By means of a coupled fixed point theorem on ordered sets, some results on the existence and uniqueness of positive solutions are obtained.

scholarly journals Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Hongyu Li ◽  
Junting Zhang
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Fixed Point Theorems ◽  
Lattice Structure ◽  
Boundary Value ◽  
Second Order ◽  
Negative Solution ◽  
Nontrivial Solutions ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

By using fixed point theorems with lattice structure, the existence of negative solution and sign-changing solution for some second-order multipoint boundary value problems is obtained.

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