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Description
  • Hartman-type conditions are presented for the solvability of a multivalued Dirichlet problem in a Banach space by means of topological degree arguments, bounding functions, and a Scorza-Dragoni approximation technique. The required transversality conditions are strictly localized on the boundaries of given bound sets. The main existence and localization result is applied to a partial integro-differential equation involving possible discontinuities in state variables. Two illustrative examples are supplied. The comparison with classical single-valued results in this field is also made.
  • Hartman-type conditions are presented for the solvability of a multivalued Dirichlet problem in a Banach space by means of topological degree arguments, bounding functions, and a Scorza-Dragoni approximation technique. The required transversality conditions are strictly localized on the boundaries of given bound sets. The main existence and localization result is applied to a partial integro-differential equation involving possible discontinuities in state variables. Two illustrative examples are supplied. The comparison with classical single-valued results in this field is also made. (en)
Title
  • Scorza-Dragoni approach to Dirichlet problem in Banach spaces
  • Scorza-Dragoni approach to Dirichlet problem in Banach spaces (en)
skos:prefLabel
  • Scorza-Dragoni approach to Dirichlet problem in Banach spaces
  • Scorza-Dragoni approach to Dirichlet problem in Banach spaces (en)
skos:notation
  • RIV/61989592:15310/14:33150896!RIV15-GA0-15310___
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  • P(GA14-06958S)
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  • 43934
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  • RIV/61989592:15310/14:33150896
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  • condensing multivalued operators; solutions in a given set; strictly localized bounding functions; Scorza-Dragoni-type technique; Dirichlet problem (en)
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  • DE - Spolková republika Německo
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  • [4898D6A45B94]
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  • Boundary Value Problems
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  • 23
http://linked.open...iv/tvurceVysledku
  • Andres, Jan
  • Malaguti, Luisa
  • Pavlačková, Martina
http://linked.open...ain/vavai/riv/wos
  • 000333599900001
issn
  • 1687-2770
number of pages
http://bibframe.org/vocab/doi
  • 10.1186/1687-2770-2014-23
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  • 15310
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