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

How to Cite

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

Issue

Vol. 13 No. 2: (April 2020)

Section

Nonlinear Analysis

License

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European Journal of Pure and Applied Mathematics will be Copyright Holder.