``Splashes in Fredholm integro-differential equations with rapidly varying kernels

DOI10.1134/S0001434609010192zbMath1177.45009OpenAlexW2036888574MaRDI QIDQ1033907

Abdukhafiz Abdurasulovich Bobodzhanov, Valeriĭ Fedorovich Safonov

Publication date: 10 November 2009

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

Full work available at URL: https://doi.org/10.1134/s0001434609010192

zbMATH Keywords

algorithmsingular perturbationasymptotic solutionsregularizationVolterra operatorFredholm operatorboundary layerintegro-differential equationrapidly varying kernelLagrange-Sylvester polynomialsplash function

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (2)

Построение аналога теоремы Фредгольма для одного класса модельных интегро-дифференциальных уравнений первого порядка с логарифмической особенностью в ядре ⋮ The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels

Cites Work

• Method of expanding unity in regions with piecewise smooth boundaries as sums of algebraic polynomials of two variables having certain properties of a kernel
• The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels
• Volterra integral equations with rapidly varying kernels and their asymptotic integration
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: ``Splashes in Fredholm integro-differential equations with rapidly varying kernels