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摘要
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 x(Delta Delta)(t) = f(t, x(sigma)), t epsilon [0,1](T) = [0, 1] boolean AND T, x(0) = 0, x(sigma(2)(1)) = Sigma(m-1)(i=1) alpha(i)x(eta(i)), eta(i) epsilon (0,1)(T,) Sigma(m-1)(i=1) alpha(i) <= 1, are developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the problem is obtained.
- 出版日期2010
