Discrete Generalization of Gronwall-Bellman Inequality with Maxima and Application

Hristova, Snezhana; Stefanova, Kremena; Vankova, Liliana

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Article . 2012

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Discrete Generalization of Gronwall-Bellman Inequality with Maxima and Application

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 Bulgaria English Publisher:Union of Bulgarian Mathematicians

Authors: Hristova, Snezhana; Stefanova, Kremena; Vankova, Liliana;

handle: 10525/1954

Discrete Generalization of Gronwall-Bellman Inequality with Maxima and Application

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Abstract

Снежана Христова, Кремена Стефанова, Лиляна Ванкова - В работата са решени няколко нови видове линейни дискретни неравенства, които съдържат максимума на неизвестната функция в отминал интервал от време. Някои от тези неравенства са приложени за изучаване непрекъснатата зависимост от смущения при дискретни уравнения с максимуми. Several new types of linear discrete inequalities containing the maximum of the unknown function over a past time interval are solved. Some of these inequalities are applied to difference equations with maximum and the continuous dependence of a perturbation is studied. *2000 Mathematics Subject Classification: 39A22, 26D15, 39B62, 39A10, 47J20. The research was partially supported by Grand NI11FMI004/30.05.2011, Fund “Scientific Research”, Plovdiv University.

Country

Bulgaria

Related Organizations

Bulgarian Academy of Sciences
Bulgaria
Institute of Mathematics and Informatics
Bulgaria

Keywords

Bounds, Discrete Gronwall–Bellman Type Inequality, Difference Equations with Maxima

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