A note on solutions in \(L^1[0,1]\) to Hammerstein integral equations

DOI10.1216/jiea/1181076002zbMath0897.45008OpenAlexW2071870541MaRDI QIDQ1381908

Donal O'Regan

Publication date: 19 October 1998

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/nrm/vol92/contents/contents.htm

zbMATH Keywords

Hammerstein integral equationmeasure of weak noncompactnessVolterra integral equationsSchauder fixed point theoremUryson integral equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10)

Related Items

Integral \(\Phi\)-type contractions and existence of continuous solutions for nonlinear integral inclusions

Cites Work

• Integrable solutions of a functional-integral equation
• Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation
• Perturbation of linear abstract Volterra equations
• Integrable solutions of hammerstein
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