Generalized quasilinearization method and rapid convergence for first order initial value problems

[摘要] We apply the generalized quasilinearization method of V. Lakshmikantham (Nonlinear Anal. 27 (1996), 223-227) and the extended method of R. N. Mohapatra, K. Vajravelu, and Y. Yin (J. Optim. Theory Appl., in press) to the first order initial value problem (IVP for short) x'(t) = f(f, x), x(0) = x(0), t is an element of J with wider class functions f and obtain rapid convergence of monotone sequences which converge uniformly to the unique solution of the IVP. (C) 1997 Academic Press.

[发布日期] 1997-03-01