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On some integral inequalities and their applications - MaRDI portal

On some integral inequalities and their applications (Q678686)

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scientific article; zbMATH DE number 1003964
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On some integral inequalities and their applications
scientific article; zbMATH DE number 1003964

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    On some integral inequalities and their applications (English)
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    18 December 1997
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    In the present paper the author has obtained various upper bounds on solutions of the Volterra-Fredholm type integral inequalities of the form \[ u(x,t)\leq f(x,t)+ \int^t_0 \int^b_0 k(x,t,y,s)u(y,s)dy ds. \] The obtained results are applied to study the boundedness, stability, and uniqueness of the solutions of some integral equations and their systems.
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    Volterra-Fredholm type integral inequalities
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