scholarly journals Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Xingqiu Zhang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Banach Spaces ◽  
Positive Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Multipoint Boundary ◽  
Second Order Differential Equations ◽  
Infinite Intervals ◽  
Multipoint Boundary Value Problems

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.

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