Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance

Abstract

Abstract In this paper, by using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the solvability for functional boundary value problems of second-order nonlinear differential equations system at resonance with dim Ker L = 3 $\dim\operatorname{Ker} L=3$ and 4, respectively.

Keywords

• coincidence degree theory
• functional boundary condition
• resonance
• Fredholm operator