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  • In this paper, the question on the existence and uniqueness of a constant sign solution of the initial value problem u´´ (t) = l (u)(t) + q(t), u(a) = c1, u´(a) = c2 is studied. More precisely, the nonimprovable effective sufficient conditions for a linear operator l Î C ([a,b];R) # L ([a,b];R) are established guaranteeing that the considered problem with q Î L ([a,b];R) and c1, c2 Î R has a unique solution and this solution is nonnegative. The question on the existence and uniqueness of a monotone solution of the same problem is discussed, as well.
  • In this paper, the question on the existence and uniqueness of a constant sign solution of the initial value problem u´´ (t) = l (u)(t) + q(t), u(a) = c1, u´(a) = c2 is studied. More precisely, the nonimprovable effective sufficient conditions for a linear operator l Î C ([a,b];R) # L ([a,b];R) are established guaranteeing that the considered problem with q Î L ([a,b];R) and c1, c2 Î R has a unique solution and this solution is nonnegative. The question on the existence and uniqueness of a monotone solution of the same problem is discussed, as well. (en)
  • Monnotonní řešení funkcionálních differenciálních rovnic 2. řádu a řešení těchto rovnic s konstantním znaménkem (cs)
Title
  • On sign constant and monotone solution of secondorder linear functional differential equations
  • On sign constant and monotone solution of secondorder linear functional differential equations (en)
  • Monnotonní řešení funkcionálních differenciálních rovnic 2. řádu a řešení těchto rovnic s konstantním znaménkem (cs)
skos:prefLabel
  • On sign constant and monotone solution of secondorder linear functional differential equations
  • On sign constant and monotone solution of secondorder linear functional differential equations (en)
  • Monnotonní řešení funkcionálních differenciálních rovnic 2. řádu a řešení těchto rovnic s konstantním znaménkem (cs)
skos:notation
  • RIV/60076658:12410/04:00008457!RIV08-MSM-12410___
http://linked.open.../vavai/riv/strany
  • 51-87
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • V
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 577813
http://linked.open...ai/riv/idVysledku
  • RIV/60076658:12410/04:00008457
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Second order linear functional differential equation; initial value problem; nonnegative solution; monotone solution. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GE - Gruzie
http://linked.open...ontrolniKodProRIV
  • [8E3054A6EC33]
http://linked.open...i/riv/nazevZdroje
  • Memoirs on Diff. Equat. Math. Phys.
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 33
http://linked.open...iv/tvurceVysledku
  • Lomtatidze, Alexander
  • Štěpánková, Hana
issn
  • 1512-0015
number of pages
http://localhost/t...ganizacniJednotka
  • 12410
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