Multiple positive solutions for functional dynamic equations on time scales

In this paper, we study the following functional dynamic equation on time scales: {[@F(u^@D(t))]^@?+a(t)f(u(t),u(@m(t)))=0,[email protected]?(0,T)"T,u(t)[email protected](t),[email protected]?[-r,0)"T,u(0)-B"0(u^@D(0))=0,u^@D(T)=0, where @F:R->R is an increasing homeomorphism and a positive homomorphism and @F(0)=0. By using the well-known Leggett-Williams fixed point theorem, existence criteria for multiple positive solutions are established. An example is also given to illustrate the main results.

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