Asymptotic Solutions of Scalar Integro-Differential Equations with Partial Derivatives and with Fast Oscillating Coefficients
DOI:
https://doi.org/10.29020/nybg.ejpam.v13i2.3664Keywords:
singularly perturbed, partial integro differential equation, regularization of an integral, solvability of iterative problemsAbstract
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.Downloads
Published
2020-04-29
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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