Построение аналога теоремы Фредгольма для одного класса модельных интегро-дифференциальных уравнений первого порядка с логарифмической

DOI10.14498/VSGTU1515zbMath1438.45015OpenAlexW2949128742MaRDI QIDQ4961585

Sarvar Kakhramonovich Zaripov

Publication date: 25 October 2018

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1515

zbMATH Keywords

integral representationintegro-differential equationcharacteristic equationboundary singular pointsmanifold solution

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05)

Related Items (7)

Volterra-type integro-differential equations with two-point singular differential operator ⋮ INVESTIGATION OF SOME CLASSES OF SECOND ORDER PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH A POWERLOGARITHMIC SINGULARITY IN THE KERNEL ⋮ Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney-Luke integro-differential equation with degenerate kernel ⋮ AN INVERSE PROBLEM OF DETERMINING THE KERNEL IN AN INTEGRO–DIFFERENTIAL EQUATION OF VIBRATIONS OF A BOUNDED STRING ⋮ New type super singular integro-differential equation and its conjugate equation ⋮ Mellin transform and integro-differential equations with logarithmic singularity in the kernel ⋮ On exact solutions of a class of singular partial integro-differential equations

Cites Work

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• Multidimensional Volterra-type integral equation with singular boundary domains in kernels
• On a class of two-dimensional adjoint integral equations of Volterra type
• Global solvability of an inverse problem for an integro-differential equation of electrodynamics
• ``Splashes in Fredholm integro-differential equations with rapidly varying kernels
• Integro-differential equations with Fredholm operator by the derivative of the highest order in Banach spaces and its applications
• Singular integro-differential equations of the special type in Banach spaces and its applications
• Degenerate integro-differential equations of convolution type in Banach spaces
• The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels
• Evaluation of the stability of some inverse problems solutions for integro-differential equations
• О единственности определения ядра интегро-дифференциального уравнения параболического типа
• Обратная задача для одного интегро-дифференциального уравнения Фредгольма в частных производных третьего порядка

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