JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 97-101.doi: 10.6040/j.issn.1671-9352.0.2018.758

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Convergence and contractivity of boundary value methods for nonlinear delay differential equations

ZHANG Ru1, HAN Xu2, LIU Xiao-gang3   

  1. 1. School of Information Engineering, Northwestern Polytechnical University Mingde College, Xian 710124, Shaanxi, China;
    2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, Heilongjiang, China;
    3. Department of Mathematics, Modern College of Northwest University, Xian 710130, Shaanxi, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: The boundary value methods are applied to the nonlinear delay differential equations. Under the assumptions of Lipschitz conditions, the convergence and the global contractivity, the weakly global contractivity of the boundary value methods are analyzed. Finally, some numerical experiments are carried out to illustrate the theoretical results.

Key words: boundary value method, nonlinear delay differential equation, convergence, contractivity

CLC Number: 

  • O241.8
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