Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Emphatic Convergence for Kurzweil Equations

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  • 1- Teaching Department of Science, Gansu University of Chinese Medicine, Dingxi, Gansu 743000
    2- College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070

Received date: 2017-11-06

  Accepted date: 2018-01-17

  Online published: 2018-01-17

Supported by

The National Natural Science Foundation of China (10771171); the 555 Innovation Talent Project of Gansu Province (GS-555-CXRC); the Technique Innovation Project of Northwest Normal University (NWNU-KJCXGC-212).

Abstract

In this paper, by using the theories of Kurzweil integral and bounded $\Phi$-variation function. Emphatic convergence for Kurzweil equations and its application for a sequence of ordinary differential equations are discussed. The theorem of emphatic convergence for bounded $\Phi$-variation solutions of Kurzweil equations is obtained. The result is continuation of continuous dependence of bounded $\Phi$-variation solutions on parameters for Kurzweil equations and essential generalization of the emphatic convergence for bounded variation solutions of Kurzweil equations.

Cite this article

MA Xue-min, ZHANG Ling, LI Bao-lin . Emphatic Convergence for Kurzweil Equations[J]. Chinese Journal of Engineering Mathematics, 2020 , 37(1) : 107 -120 . DOI: 10.3969/j.issn.1005-3085.2020.01.009

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