The dual variational method for n-th order ODEs with multipoint boundary conditions

Abstract

We discuss the eigenvalue problem for n-th order equations with multipoint boundary conditions. We present the variational method in spite of the fact that the nonlinearity is dependent on the derivative of n/2 order. The results can be applied applied to both sublinear and superlinear cases.

Keywords:

• variational methods
• n-th order ODEs
• multipoint boundary conditions

AMS Subject Classifications:

• 34B15
• 49J40
• 49J60