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
