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Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications - MaRDI portal

Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications (Q847165)

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scientific article; zbMATH DE number 5669144
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English
Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications
scientific article; zbMATH DE number 5669144

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    Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications (English)
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    12 February 2010
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    The author gives some explicit bounds to some power nonlinear Volterra-Fredholm type discrete inequalities involving a function of two variables. These inequalities can be used as effective tools in the study of quantitative properties of solutions of certain classes of partial finite and sum-difference equations. The author presents applications of these inequalities to the study of boundedness, uniqueness and continuous dependence of the solutions of certain Volterra-Fredholm type sum-difference equations.
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    Power nonlinear discrete inequalities
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    Volterra-Fredholm type
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    Gronwall-Bellman-Ou-Iang type
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    explicit bounds
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    sum-difference equations
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