On solvability in $W_1^1(\mathbb {R}^+)$ of a nonlinear integro-differential equation with a noncompact Hammerstein–Nemytskiĭ operator

DOI10.1090/S1061-0022-2012-01235-5zbMath1279.45010OpenAlexW1591615179WikidataQ115281119 ScholiaQ115281119MaRDI QIDQ2849051

Khachatur A. Khachatryan

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01235-5

zbMATH Keywords

Sobolev spacepositive solutionHammerstein type equationconvergence of iterationsCarathéodory conditionnoncompact Hammerstein-Nemytskiĭ operatornonlinear integro-differential equation of convolution type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (4)

Method of maximal monotonic operators in the theory of nonlinear integro-differential equations of convolution type ⋮ Unnamed Item ⋮ Analytical-numerical solution of a nonlinear integrodifferential equation in econometrics ⋮ On positive solutions of the boundary value problem for a nonlinear integro-differential equation on a semi-infinite interval

Cites Work

• Electron plasma in a metal half-space in an alternating electric field.
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