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Zbl 1032.39009
Avery, Richard I.; Anderson, Douglas R.
Existence of three positive solutions to a second-order boundary value problem on a measure chain. (English)
[J] J. Comput. Appl. Math. 141, No.1-2, 65-73 (2002). ISSN 0377-0427

The authors use the so called ``five functionals fixed point theorem'', a generalization of the Leggett-Williams fixed point theorem, in order to prove the existence of at least three positive solutions of a boundary value problem. This boundary value problem consists of a second order dynamic equation on a measure chain/time scale and a Sturm-Liouville type boundary condition.
[Stefan Hilger (Eichstätt)]

MSC 2000:: *39A12 Discrete version of topics in analysis
93C70 Time-scale analysis and related topics
34B24 Sturm-Liouville theory
39A11 Stability of difference equations

Keywords: time scale; measure chain; boundary value problem; fixed point theorem; positive solution; Sturm-Liouville type boundary condition

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