Existence of monotone iteration solutions for a kind of second-order delay differential equations with three-point boundary value problem. (Chinese. English summary) Zbl 1349.34261
Summary: A three-point boundary value problem for a class of second-order delay differential equations is studied. By using upper and lower solutions technique and Mawhin’s continuation theorem, some sufficient conditions on the existence of solutions for this boundary value problem are obtained. Besides, corresponding iterative schemes which converge to the solution are established. Some known results are extended and improved.
MSC:
34K10 | Boundary value problems for functional-differential equations |
34K07 | Theoretical approximation of solutions to functional-differential equations |
47N20 | Applications of operator theory to differential and integral equations |