Asymptotic Solutions of Scalar Integro-Differential Equations with Partial Derivatives and with Fast Oscillating Coefficients

Authors

  • Burkhan Kalimbetov Khoja Ahmet Yasawi International Kazakh-Turkish University
  • Akisher Temirbekov Khoja Ahmet Yasawi International Kazakh-Turkish University
  • Abdimuhan Tolep Khoja Ahmet Yasawi International Kazakh-Turkish University

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i2.3664

Keywords:

singularly perturbed, partial integro differential equation, regularization of an integral, solvability of iterative problems

Abstract

In the paper, ideas of the Lomov regularization method are generalized to the Cauchy problem for a singularly perturbed partial integro-differential equation in the case when the integral term contains a rapidly varying kernel. Regularization of the problem is carried out, the normal and unique solvability of general iterative problems is proved.

Author Biographies

  • Burkhan Kalimbetov, Khoja Ahmet Yasawi International Kazakh-Turkish University
    ИнÑтитут ЕÑтеÑтвенных Ðаук
  • Akisher Temirbekov, Khoja Ahmet Yasawi International Kazakh-Turkish University
    ИнÑтитут ЕÑтеÑтвенных Ðаук
  • Abdimuhan Tolep, Khoja Ahmet Yasawi International Kazakh-Turkish University
    ИнÑтитут ЕÑтеÑтвенных Ðаук

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Published

2020-04-29

Issue

Vol. 13 No. 2: (April 2020)

Section

Nonlinear Analysis

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How to Cite

Asymptotic Solutions of Scalar Integro-Differential Equations with Partial Derivatives and with Fast Oscillating Coefficients. (2020). European Journal of Pure and Applied Mathematics, 13(2), 287-302. https://doi.org/10.29020/nybg.ejpam.v13i2.3664