scholarly journals Existence of solutions for second-order integral boundary value problems

2016 ◽  
Vol 21 (6) ◽  
pp. 828-838 ◽  
Author(s):  
Yujun Cui ◽  
◽  
Yumei Zou ◽  
Keyword(s):  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Integral Boundary ◽  
Integral Boundary Value Problems

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.

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