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  • The paper presents a general existence principle which can be used for a large class of singular boundary value problems for n-order differential equations which nonlinearities f satisfy the local Carathéodory conditions and f has singularities in all its phase variables. The proof is base on regularization and sequential techniques. An application of the general existence principle to singular conjugate (p,n-p) BVPs is also given.
  • The paper presents a general existence principle which can be used for a large class of singular boundary value problems for n-order differential equations which nonlinearities f satisfy the local Carathéodory conditions and f has singularities in all its phase variables. The proof is base on regularization and sequential techniques. An application of the general existence principle to singular conjugate (p,n-p) BVPs is also given. (en)
  • Článek se zabývá obecným existenčním principem použitelným pro širokou třídu singulárních okrajových úloh pro diferenciální rovnice n-tého řádu s nelinearitami splňujícími lokální Carathéodoryho podmínku a mající singularity ve všech fázových proměnných. Důkaz je založen na regularizaci a sekvenčních technikách. Dále je ukázána aplikace obecného existenčního principu na singulárních (p,n-p) sdružených ODR. (cs)
Title
  • Obecný existenční princip pro singulární okrajové úlohy a jeho použití (cs)
  • General existence principle for singular BVPs and its applications
  • General existence principle for singular BVPs and its applications (en)
skos:prefLabel
  • Obecný existenční princip pro singulární okrajové úlohy a jeho použití (cs)
  • General existence principle for singular BVPs and its applications
  • General existence principle for singular BVPs and its applications (en)
skos:notation
  • RIV/61989592:15310/04:00002248!RIV/2005/GA0/153105/N
http://linked.open.../vavai/riv/strany
  • 549-565
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/01/1451), Z(MSM 153100011)
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 565252
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/04:00002248
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • general existence principle;singular BVP;conjugate BVP;regularization, Vitali's convergence theorem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GE - Gruzie
http://linked.open...ontrolniKodProRIV
  • [BC49FCE604E2]
http://linked.open...i/riv/nazevZdroje
  • Georgian Mathematical Journal
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 11
http://linked.open...iv/tvurceVysledku
  • Rachůnková, Irena
  • Staněk, Svatoslav
http://linked.open...n/vavai/riv/zamer
issn
  • 1072-947X
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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