Existence of Positive Solutions in Generalized Boundary Value Problem for graphic file="1687-1847-2009-848191-i1.gif"/>-Laplacian Dynamic Equations on Time Scales

We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized -point boundary value problem for the -Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem...

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Veröffentlicht in:Advances in difference equations 2009-01, Vol.2009 (1), p.848191
Hauptverfasser: Zhong Wenyong, Lin Wei
Format: Artikel
Sprache:eng
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Zusammenfassung:We analytically establish the conditions for the existence of at least two or three positive solutions in the generalized -point boundary value problem for the -Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem. Furthermore, we illustrate the possible application of our analytical results with a concrete and nontrivial dynamic equation on specific time scales.
ISSN:1687-1839
1687-1847