Abstract
In this paper, several existence theorems of positive solutions are established for nonlinear m -point boundary value problem for the following dynamic equations on time scales ( ϕ ( u Δ ) ) ∇ + a ( t ) f ( t , u ( t ) ) = 0 , t ∈ [ 0 , T ] , ϕ ( u Δ ( 0 ) ) = ∑ i = 1 m − 2 a i ϕ ( u Δ ( ξ i ) ) , u ( T ) = ∑ i = 1 m − 2 b i u ( ξ i ) , where ϕ : R ⟶ R is an increasing homeomorphism and homomorphism and ϕ ( 0 ) = 0 . The nonlinear term f may change sign. As an application, an example to demonstrate our results is given.
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