Mathematical Proceedings of the Cambridge Philosophical Society · 1976 · 54 citations · 5 references
Natural SciencesMathematicsDifferential EquationsBoundary-value ProblemsExistence TheoryIntegral EquationsKernel MethodsOperator TheoryPartial Differential EquationsFredholm Integral EquationsFredholm OperatorsFredholm TheoryNonlinear Integral EquationsUniqueness For Integral EquationsVolterra EquationsVolterra Integral EquationsVolterra Theory
This paper concerns the existence and uniqueness of non-negative solutions of non-linear Volterra integral equations of the type and where the kernel function k (.,.) is non-negative and sufficiently smooth, and either 0 < p < 1 or – 1 < p < 1. We will consider also the corresponding Fredholm equations and
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