Monotone iterative technique for nonlocal hyperbolic differential problem. (English) Zbl 0811.35083
Summary: The aim of the paper is to discuss the existence of maximal and minimal solutions of a nonlinear nonlocal hyperbolic differential problem. A monotone iterative technique, considered in [G. S. Ladde, V. Lakshmihantham and A. S. Vatsala, Monotone iterative techniques for nonlinear differential equations (1985; Zbl 0658.35003)], is used to prove this result.
MSC:
35L70 | Second-order nonlinear hyperbolic equations |
35A35 | Theoretical approximation in context of PDEs |