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  • We prove that, for the validity of a certain theorem on differential inequalities for a linear functional differential equation of hyperbolic type partial derivative(2)u(t,x)/partial derivative t partial derivative x=l(i)(t,x)+q(t,x) with a negative linear operator I: C([a, b] x [c, d]; R) -> L([a, b] x [c, d]; R), it is necessary that l be an (a, c)-Volterra operator.
  • We prove that, for the validity of a certain theorem on differential inequalities for a linear functional differential equation of hyperbolic type partial derivative(2)u(t,x)/partial derivative t partial derivative x=l(i)(t,x)+q(t,x) with a negative linear operator I: C([a, b] x [c, d]; R) -> L([a, b] x [c, d]; R), it is necessary that l be an (a, c)-Volterra operator. (en)
Title
  • Some remarks on linear functional differential inequalities of hyperbolic type
  • Some remarks on linear functional differential inequalities of hyperbolic type (en)
skos:prefLabel
  • Some remarks on linear functional differential inequalities of hyperbolic type
  • Some remarks on linear functional differential inequalities of hyperbolic type (en)
skos:notation
  • RIV/67985840:_____/08:00358235!RIV11-GA0-67985840
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  • P(GA201/06/0254), Z(AV0Z10190503)
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  • 2
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  • 395928
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  • RIV/67985840:_____/08:00358235
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  • maximum principle; equations (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [E3D9A0BF29D1]
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  • Ukrainian Mathematical Journal
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  • 60
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  • Šremr, Jiří
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  • 000261841500012
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  • 0041-5995
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