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A continuous kernel functions method for mixed-type functional differential equations

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Abstract

The goal of the paper is to propose a continuous technique for dealing with first-order linear mixed-type functional differential equations. The approach is established via the employment of the reproducing kernel functions and their nice property. The error results of the tests demonstrate that this approach can give good continuous approximations to the considerable problems.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11801044, 11326237).

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Authors and Affiliations

  1. Department of Mathematics, Changshu Institute of Technology, Suzhou, 215500, Jiangsu, China

    Y. Gao & X. Y. Li

  2. School of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620, USA

    X. Y. Li

  3. School of Mathematical Sciences, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, China

    B. Y. Wu

Authors
  1. Y. Gao
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  2. X. Y. Li
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  3. B. Y. Wu
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Correspondence to X. Y. Li or B. Y. Wu.

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Gao, Y., Li, X.Y. & Wu, B.Y. A continuous kernel functions method for mixed-type functional differential equations. Math Sci 16, 177–182 (2022). https://doi.org/10.1007/s40096-021-00409-1

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