Approximation of Solution of Some m-Point Boundary Value Problems on Time Scales
نویسندگان
چکیده
The method of upper and lower solutions and the generalized quasilinearization technique for second-order nonlinear m-point dynamic equations on time scales of the type xΔΔ t f t, x , t ∈ 0, 1 T 0, 1 ∩ T, x 0 0, x σ2 1 ∑m−1 i 1 αix ηi , ηi ∈ 0, 1 T, ∑m−1 i 1 αi ≤ 1, are developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the problem is obtained.
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