Regularized asymptotic solutions of the initial problem for the system of integro-partial differential equations

DOI10.1134/S0001434617070033zbMath1380.45004OpenAlexW2766301396MaRDI QIDQ1688306

Valeriĭ Fedorovich Safonov, Abdukhafiz Abdurasulovich Bobodzhanov

Publication date: 5 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617070033

zbMATH Keywords

algorithmasymptoticsintegro-partial differential equationsingularly perturbed equationregularization of an integral

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Systems of nonsingular linear integral equations (45F05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (8)

Spectral features of the solving of a Fredholm homogeneous integro-differential equation with integral conditions and reflecting deviation ⋮ Spectral singularities of solutions to a boundary-value problem for the Fredholm integro-differential equation of the second order with reflection of argument ⋮ Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels ⋮ On inverse boundary value problem for a Fredholm integro-differential equation with degenerate kernel and spectral parameter ⋮ Unnamed Item ⋮ Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel ⋮ Asymptotic solution of the Cauchy problem for the singularly perturbed partial integro-differential equation with rapidly oscillating coefficients and with rapidly oscillating heterogeneity ⋮ On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel

Cites Work

• Nonsmooth eigenfunctions in problems of mathematical physics
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