A-priori estimates for the solutions of a class of nonlinear convolution equations (Q1188384)

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scientific article; zbMATH DE number 40553
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A-priori estimates for the solutions of a class of nonlinear convolution equations
scientific article; zbMATH DE number 40553

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    A-priori estimates for the solutions of a class of nonlinear convolution equations (English)
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    13 August 1992
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    The note presents two sided a priori estimates for the solutions of a class of nonlinear Volterra type integral equations in the cone of nonnegative continuous functions. These estimates are the key step to prove that the considered equations have a unique solution in the class of all nonnegative nontrivial continuous functions vanishing at the origin.
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    nonlinear convolution equations
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    nonnegative solutions
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    two sided a priori estimates
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    nonlinear Volterra type integral equations
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    cone
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