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  • Jsou uvedeny obecné existenční principy, které lze aplikovat na širokou třídu nelokálních okrajových úloh s φ-laplaciánem. Nelinearity v diferenciálních rovnicích splňuji Carathéodoryovy podmínky a mohou mít singularity ve fázových proměnných. Důkazy jsou založeny na Leray-Schauderově stupni a na regularizační a sekvenciální metodě. Aplikace obecných existenčních principů je uvedena na dvou konkrétních singulárních okrajových úlohách. (cs)
  • The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems with φ-Laplacian. The nonlinearity in differential equations satisfy the Carathéodory conditions and may have singularities in their phase variables. The proofs are based on the Leray-Schauder degree and use regularization and sequential techniques. Applications of general existence principles to two concrete singular boundary value problems are given.
  • The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems with φ-Laplacian. The nonlinearity in differential equations satisfy the Carathéodory conditions and may have singularities in their phase variables. The proofs are based on the Leray-Schauder degree and use regularization and sequential techniques. Applications of general existence principles to two concrete singular boundary value problems are given. (en)
Title
  • General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications
  • General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications (en)
  • Obecné existenční principy pro nelokální okrajové úlohy s φ-laplaciánem a jejich požití (cs)
skos:prefLabel
  • General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications
  • General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications (en)
  • Obecné existenční principy pro nelokální okrajové úlohy s φ-laplaciánem a jejich požití (cs)
skos:notation
  • RIV/61989592:15310/06:00003061!RIV07-GA0-15310___
http://linked.open.../vavai/riv/strany
  • 1-30
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/1077), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • E
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
  • 476777
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  • RIV/61989592:15310/06:00003061
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • general existence principle; singular differential equation; φ-Laplacian; nonlocal boundary condition; Leray-Schauder degree (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [D8552993EE95]
http://linked.open...i/riv/nazevZdroje
  • Abstract and Applied Analysis
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
  • ID 96826
http://linked.open...iv/tvurceVysledku
  • Staněk, Svatoslav
  • Agarwal, Ravi P.
  • O'regan, Dan
http://linked.open...n/vavai/riv/zamer
issn
  • 1687-0409
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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