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Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions. (English) Zbl 1235.34179

The author uses a fixed point theorem due to R. I. Avery and A. C. Peterson [Comput. Math. Appl. 42, 313–322 (2001; Zbl 1005.47051)] to establish the existence of at least three non-negative solutions of some nonlocal boundary value problems to third order differential equations with arbitrary continuous advanced arguments. An example is given to illustrate the main results.

MSC:

34K10 Boundary value problems for functional-differential equations
47N20 Applications of operator theory to differential and integral equations

Citations:

Zbl 1005.47051
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Full Text: DOI

References:

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