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Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory - MaRDI portal

Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory (Q519265)

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scientific article; zbMATH DE number 6700526
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English
Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory
scientific article; zbMATH DE number 6700526

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    Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory (English)
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    4 April 2017
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    This paper deals with the study of a class of impulsive differential inclusions with Sturm-Liouville boundary conditions. The main result of the present paper establishes a multiplicity property. More precisely, by using the Ricceri critical point theorem, the authors establish the existence of at least three nontrivial weak solutions.
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    differential inclusions
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    impulsive
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    Sturm-Liouville boundary conditions
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    nonsmooth critical point theory
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