The set of solutions of Volterra and Urysohn integral equations in Banach spaces

DOI10.1216/RMJ-2010-40-4-1313zbMath1204.45013MaRDI QIDQ990322

Aneta Sikorska-Nowak

Publication date: 7 September 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Pettis integralBanach spacenonlinear Volterra integral equationexistence of solutionHenstock-Kurzweil integralHenstock-Kurzweil-Pettis integralmeasures of weak noncompactnessnonlinear Urysohn integral equationset of solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

On an integral equation under Henstock-Kurzweil-Pettis integrability ⋮ Weak solutions for the dynamic Cauchy problem in Banach spaces

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