Second order systems with nonlinear nonlocal boundary conditions

Abstract

This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some known results with linear nonlocal boundary conditions.

Keywords

• nonlinear boundary value problem
• nonlinear and nonlocal boundary conditions
• leray–schauder degree
• brouwer degree