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Maximum principles for second-order impulsive integro-differential equations with integral jump conditions - MaRDI portal

Maximum principles for second-order impulsive integro-differential equations with integral jump conditions (Q310705)

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scientific article; zbMATH DE number 6625447
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English
Maximum principles for second-order impulsive integro-differential equations with integral jump conditions
scientific article; zbMATH DE number 6625447

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    Maximum principles for second-order impulsive integro-differential equations with integral jump conditions (English)
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    8 September 2016
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    The authors establish two new maximum principles for a class of second-order impulsive integro-differential equations with an integral jump condition. They also prove the existence of extreme solutions for a related periodic boundary value problem, by using the method of upper and lower solutions and the monotone iterative technique. The paper complements an earlier one by the authors et al. [Bound. Value Probl. 2012, Article ID 122, 21 p. (2012; Zbl 1281.34114)].
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    maximum principle
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    impulsive integro-differential equation
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    periodic boundary value problem
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    method of upper and lower solutions
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    monotone iterative technique
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