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

Burkhan Kalimbetov, Akisher Temirbekov, Abdimuhan Tolep

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.

Keywords

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

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