The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels

DOI10.1070/SM2013v204n07ABEH004327zbMath1278.45009MaRDI QIDQ2863121

Valeriĭ Fedorovich Safonov, Abdukhafiz Abdurasulovich Bobodzhanov

Publication date: 21 November 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationnormal formsintegro-differential equationasymptotic seriesunstable spectrumFredholm-typerapidly varying kernelsregularizing normal formseparating singularities

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Systems of nonsingular linear integral equations (45F05) Linear integral equations (45A05)

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Cites Work

• ``Splashes in Fredholm integro-differential equations with rapidly varying kernels
• Behavior of solutions of inhomogeneous differential equations with a turning point and small parameter for the derivative
• Singularly perturbed nonlinear integrodifferential systems with fast varying kernels
• Volterra integral equations with rapidly varying kernels and their asymptotic integration
• Singularly perturbed integro-differential systems with contrast structures
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