A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with -Laplacian

2008 ◽  
Vol 68 (10) ◽  
pp. 3127-3137 ◽  
Author(s):  
Xinguang Zhang ◽  
Lishan Liu
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fourth Order ◽  
Boundary Value ◽  
Sufficient Condition ◽  
Point Boundary ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

scholarly journals Positive solutions of fourth-order superlinear singular boundary value problems

2002 ◽  
Vol 66 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Guoliang Shi ◽  
Shaozhu Chen
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fourth Order ◽  
Closed Interval ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Singular Boundary ◽  
Point Boundary ◽  
Singular Boundary Value Problems ◽  
Necessary And Sufficient

This paper investigates fourth-order superlinear singular two-point boundary value problems and obtains necessary and sufficient conditions for existence of C2 or C3 positive solutions on the closed interval.

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