scholarly journals Nodal Solutions for Some Second-Order Semipositone Integral Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Huiqin Lu ◽  
Yang Wang ◽  
Yansheng Liu
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Global Bifurcation ◽  
Second Order ◽  
Nodal Solutions ◽  
Integral Boundary ◽  
Bifurcation Theorem ◽  
Existence And Multiplicity ◽  
Integral Boundary Value Problems

Using bifurcation techniques, we first prove a global bifurcation theorem for nonlinear second-order semipositone integral boundary value problems. Then the existence and multiplicity of nodal solutions of the above problems are obtained. Finally, an example is worked out to illustrate our main results.

scholarly journals Computation of Positive Solutions for Nonlinear Impulsive Integral Boundary Value Problems withp-Laplacian on Infinite Intervals

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Xingqiu Zhang
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Monotone Iterative Technique ◽  
Second Order ◽  
Iterative Technique ◽  
Integral Boundary ◽  
Monotone Iterative ◽  
Infinite Intervals ◽  
Integral Boundary Value Problems

This paper deals with the existence and iteration of positive solutions for nonlinear second-order impulsive integral boundary value problems withp-Laplacian on infinite intervals. Our approach is based on the monotone iterative technique.

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