On the functional-integral equation of Volterra type with weakly singular kernel
Copyright policy )On the functional-integral equation of Volterra type with weakly singular kernel
We give sufficient conditions for the existence of Lp-solution of a Volterra functional-integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.
Banach space, Volterra integral equations, Singular nonlinear integral equations, Abstract integral equations, integral equations in abstract spaces, Volterra functional-integral equation, weakly singular kernel, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., measures of noncompactness
Banach space, Volterra integral equations, Singular nonlinear integral equations, Abstract integral equations, integral equations in abstract spaces, Volterra functional-integral equation, weakly singular kernel, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., measures of noncompactness
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