Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces

2011 ◽  
Vol 16 (1) ◽  
pp. 402-413 ◽  
Author(s):  
Junfang Zhao ◽  
Peiguang Wang ◽  
Weigao Ge
Keyword(s):  
Boundary Conditions ◽  
Banach Spaces ◽  
Positive Solutions ◽  
Integral Boundary Conditions ◽  
Third Order ◽  
Integral Boundary ◽  
Existence And Nonexistence

scholarly journals Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Qi Wang ◽  
Yanping Guo ◽  
Yude Ji
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Nonlinear Differential Equation ◽  
Positive Solutions ◽  
Fourth Order ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Order Nonlinear Differential Equation ◽  
Existence And Nonexistence

This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnoselskii's fixed point theorem for operators on a cone.

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