scholarly journals Existence of Positive Solutions to a Nonlocal Boundary Value Problem with -Laplacian onTime Scales

2010 ◽  
Vol 2010 (1) ◽  
pp. 809497
Author(s):  
Ting-Ting Sun ◽  
Lin-Lin Wang ◽  
Yong-Hong Fan
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Value Problem ◽  
Existence Of Positive Solutions

Existence of positive solutions for nonlocal boundary value problem of fractional differential equation

Open Physics ◽  
2013 ◽  
Vol 11 (10) ◽  
Author(s):  
Xiping Liu ◽  
Legang Lin ◽  
Haiqin Fang
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Upper And Lower Solutions ◽  
Nonlocal Boundary ◽  
Point Boundary ◽  
Nonlocal Boundary Value Problem ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

AbstractIn this paper, we study a type of nonlinear fractional differential equations multi-point boundary value problem with fractional derivative in the boundary conditions. By using the upper and lower solutions method and fixed point theorems, some results for the existence of positive solutions for the boundary value problem are established. Some examples are also given to illustrate our results.

scholarly journals Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations withp-Laplacian

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jufang Wang ◽  
Changlong Yu ◽  
Yanping Guo
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Laplacian Operator ◽  
Nonlocal Boundary Value Problem ◽  
Second Order Differential Equations ◽  
Equations Of Mixed Type ◽  
Triple Positive Solutions

We establish the existence of triple positive solutions of anm-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with ap-Laplacian operator by Leggett-William fixed point theorem. At last, we give an example to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend and improve the known results.

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