Solvability of some classes of nonlinear integro-differential equations with noncompact operator

DOI10.3103/S1066369X11010099zbMath1242.45008MaRDI QIDQ646848

Khachatur A. Khachatryan, Emilya A. Khachatryan

Publication date: 18 November 2011

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

zbMATH Keywords

asymptotic behaviornonlinearmethod of successive approximationCarathéodory conditionSobolev space: Hammerstein-type equationUrysohn-type integral-differential equationWiener-Hopf operator: pointwise convergence

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Asymptotics of solutions to integral equations (45M05) Theoretical approximation of solutions to integral equations (45L05)

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Cites Work

• Solvability of an integro-differential equation with partial derivatives on the half-axis
• Sufficient conditions for the solvability of the Urysohn integral equation on a half-line
• The Wiener-Hopf equation whose kernel is a probability density
• The Distribution of Wealth
• Factorization of a convolution-type integro-differential equation on the positive half line
• Exact linearization of the sliding problem for a dilute gas in the Bhatnagar-Gross-Krook model
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