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Wendroff-type integro-sum inequalities and applications. (English) Zbl 1006.34018

Summary: The authors present some new nonlinear Wendroff-type integral inequalities with respect to two independent variables for discontinuous functions. The results obtained are applied to investigate properties of solutions of a certain class of hyperbolic equations with impulse influence on certain surfaces.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
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