Nondecreasing solutions of a quadratic singular Volterra integral equation |
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Authors: | J Banaś B Rzepka |
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Institution: | Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland |
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Abstract: | We study the existence of nondecreasing solutions of a quadratic singular Volterra integral equation in the space of continuous functions on bounded interval. The main tool utilized in our considerations is the technique associated with certain measure of noncompactness related to monotonicity. The results obtained in the paper may be applied to a wide class of singular Volterra integral equations. |
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