... discussions were for boundary value problems of ordinary differential equation This paper studies the existence of solutions for the nonlinear two-point dynamic boundary value problem on time ... solution x t to the boundary value problem xΔΔ t λf t, xσ t , xΔ t , xΔ a 0, t ∈ a, ρ2 b Ì, x b Then the boundary value problem 1.2 has at least one solution in C2 a, b Proof The proof is the ... On Green’s functions and positive solutions for boundary value problems on time scales,” Journal of Computational and Applied Mathematics, vol 141, no 1-2, pp 75–99, 2002, Special issue on “Dynamic...