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标题：p -Laplacian functional dynamic equations on time scales
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作者：Da-Bin Wang ; Wen Guan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：145
DOI：10.1186/1687-1847-2014-145
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper we consider the following boundary value problems for p-Laplacian functional dynamic equations on time scales: [ Φ p ( u △ ▽ ( t ) ) ] ▽ + a ( t ) f ( u ( t ) , u ( μ ( t ) ) ) = 0 , t ∈ ( 0 , T ) T , u ( t ) = φ ( t ) , t ∈ [ − r , 0 ] T , u △ ( 0 ) = u △ ▽ ( T ) = 0 , u ( T ) + B 0 ( u △ ( η ) ) = 0 . By using the well-known Leggett-Williams fixed point theorem, some existence criteria of at least three positive solutions are established. MSC:39K10, 34B15.
关键词：time scale ; p -Laplacian functional dynamic equations ; boundary value problem ; positive solution ; fixed point