Of the functional-integral equation of Volterra type with weakly singular kernel. (English) Zbl 1274.45005

Summary: We give sufficient conditions for the existence of \(L^p\)-solution of a Volterra functional-integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.


45G05 Singular nonlinear integral equations
45D05 Volterra integral equations
45N05 Abstract integral equations, integral equations in abstract spaces
47H08 Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
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