Existence and uniqueness of solutions for a second-order delay differential equation boundary value problem on the half-line.
Let be the Banach space of -functions on with the sup norm and be continuous increasing functionals, . This paper deals with the functional differential equation (1) , where is locally bounded continuous operator. Some theorems about the existence of two different solutions of (1) satisfying the functional boundary conditions , are given. The method of proof makes use of Schauder linearizatin technique and the Schauder fixed point theorem. The results are modified for 2nd order functional...
In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.
The existence of single and multiple nonnegative solutions for singular positone boundary value problems to the delay one-dimensional p-Laplacian is discussed. Throughout our nonlinearity f(·,y) may be singular at y = 0.