Journal of Hebei University (Natural Science Edition) ›› 2017, Vol. 37 ›› Issue (5): 449-453.DOI: 10.3969/j.issn.1000-1565.2017.05.001

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Convergence for a class of second-order functional differential equations with initial condition

WANG Peiguang, FU Fangfang, BAO Junyan   

  1. College of Mathematics and Information Science, Hebei University, Baoding 071002, China
  • Received:2017-02-10 Online:2017-09-25 Published:2017-09-25

Abstract: The quasilinearization method is applied to discuss the convergence of the solutions for a class of second-order functional differential equations with initial condition in Banach space. We obtain the solutions for quadratic convergence of the approximate solutions.

Key words: Banach space, functional differential equations, quasilinearization, quadratic convergence

CLC Number: