Existence results for nonlinear boundary-value problems with integral boundary conditions
Texas State University-San Marcos, Department of Mathematics
In this paper, we investigate the existence of solutions for a second order nonlinear boundary-value problem with integral boundary conditions. By using suitable fixed point theorems, we study the cases when the right hand side has convex and nonconvex values.
Nonlinear boundary-value problems, Integral boundary conditions, Contraction, Fixed point
Belarbi, A., & Benchohra, M. (2005). Existence results for nonlinear boundary-value problems with integral boundary conditions. <i>Electronic Journal of Differential Equations, 2005</i>(06), pp. 1-10.