scholarly journals Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces

2008 ◽  
Vol 222 (2) ◽  
pp. 351-363 ◽  
Author(s):  
Meiqiang Feng ◽  
Dehong Ji ◽  
Weigao Ge
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Banach Spaces ◽  
Positive Solutions ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Integral Boundary

scholarly journals POSITIVE SOLUTIONS OF NTH-ORDER BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS

2015 ◽  
Vol 20 (2) ◽  
pp. 188-204 ◽  
Author(s):  
Ilkay Yaslan Karaca ◽  
Fatma Tokmak Fen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Point Theorem ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Integral Boundary Conditions ◽  
Integral Boundary

In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.

Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

2012 ◽  
Vol 15 (3) ◽  
Author(s):  
John Graef ◽  
Lingju Kong ◽  
Qingkai Kong ◽  
Min Wang
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Fractional Boundary Value Problem ◽  
Integral Boundary ◽  
Fractional Boundary Value Problems

AbstractThe authors study a type of nonlinear fractional boundary value problem with non-homogeneous integral boundary conditions. The existence and uniqueness of positive solutions are discussed. An example is given as the application of the results.

scholarly journals Positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 3161-3173
Author(s):  
Dondu Oz ◽  
Ilkay Karaca
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Integral ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Half Line ◽  
Fractional Boundary Value Problem ◽  
Integral Boundary ◽  
Nonlinear Alternative

This paper investigates the existence of positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line via the Leray-Schauder Nonlinear Alternative theorem and the use and some properties of the Green function. As an application, an example is presented to demonstrate our main result.

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