Existence and multiplicity of positive and negative solutions for higher-order multi-point Sturm-Liouville boundary value problems

2008 ◽  
Vol 16 (1-2) ◽  
pp. 121-143
Author(s):  
Alex P. Palamides
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Higher Order ◽  
Existence And Multiplicity ◽  
Sturm Liouville

Existence and Multiple Solutions for Higher Order Difference Dirichlet Boundary Value Problems

2018 ◽  
Vol 19 (5) ◽  
pp. 539-544
Author(s):  
Lianwu Yang
Keyword(s):  
Boundary Value Problems ◽  
Multiple Solutions ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Point Theory ◽  
Higher Order ◽  
Nonlinear Difference Equation ◽  
Linking Theorem ◽  
Order Difference ◽  
Existence And Multiplicity

AbstractIn this paper, a higher order nonlinear difference equation is considered. By using the critical point theory, we obtain the existence and multiplicity for solutions of difference Dirichlet boundary value problems and give some new results. The proof is based on the variational methods and linking theorem.

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