Conjugate boundary value problems with functional boundary conditions at resonance

Abstract

Abstract By constructing a suitable projection scheme and using the coincidence degree theory of Mawhin, we study the existence of solutions for conjugate boundary value problems with functional boundary conditions at resonance with dimKerL=1 $\operatorname{dim}\operatorname{Ker}L = 1$. Examples are given to illustrate our main results.

Keywords

• Functional boundary conditions
• Mawhin’s continuation theorem
• Fredholm operator
• Resonance