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Existence and uniqueness of solutions for delay boundary value problems with \(p\)-Laplacian on infinite intervals. (Chinese. English summary) Zbl 1274.34217

Summary: This paper is concerned with the existence and uniqueness of solutions for boundary value problems with \(p\)-Laplacian delay differential equations on the half-line. The existence of solutions is derived from Schauder’s fixed point theorem, whereas the uniqueness of solution is established by Banach’s contraction principle. An example is given to illustrate the main results.

MSC:

34K20 Stability theory of functional-differential equations
47N20 Applications of operator theory to differential and integral equations