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Positive solutions for -Laplacian functional dynamic equations on time scales

โœ Scribed by Changxiu Song; Cuntao Xiao


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
161 KB
Volume
66
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Multiple positive solutions for -Laplaci
โœ Changxiu Song; Peixuan Weng ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

The authors improve some well-known fixed point theorems and study the boundary value problems for a p-Laplacian functional dynamic equation on a time scale, By using the fixed point theorems, sufficient conditions are established for the existence of multiple positive solutions.

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In this paper, we study the following functional dynamic equation on time scales: where ฮฆ : R โ†’ R is an increasing homeomorphism and a positive homomorphism and ฮฆ(0) = 0. By using the well-known Leggett-Williams fixed point theorem, existence criteria for multiple positive solutions are established

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โœ You-Hui Su ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 959 KB

Let T be a pseudo-symmetric time scale such that 0, T โˆˆ T. We consider a three-point boundary value problem for p-Laplacian dynamic equations on time scales T. Some new sufficient conditions are obtained for the existence of at least single, twin, triple or arbitrary odd positive pseudo-symmetric so