Existence of solutions for mixed volterra-fredholm integral equations
Copyright policy )Existence of solutions for mixed volterra-fredholm integral equations
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space L 1[0, ∞). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes of nonlinear integral equations. Our results extend some previous works.
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Other nonlinear integral equations, Nemytski operator, Volterra integral equations, 12 Matemáticas, Fredholm integral equations, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Carathéodory conditions, Fixed-point, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., nonlinear Volterra and Fredholm integral operators, Caratheodory conditions, measure of weak noncompactness, Functional integral equation, QA1-939, functional integral equation, fixed-point, Measure of weak noncompactness, Mathematics
Other nonlinear integral equations, Nemytski operator, Volterra integral equations, 12 Matemáticas, Fredholm integral equations, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Carathéodory conditions, Fixed-point, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., nonlinear Volterra and Fredholm integral operators, Caratheodory conditions, measure of weak noncompactness, Functional integral equation, QA1-939, functional integral equation, fixed-point, Measure of weak noncompactness, Mathematics
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