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An upper and lower solution theory for the problem (G(y)) plus f (t, y)=0 on finite and infinite intervals

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Abstract

A new, upper and lower solution theory is presented for the second order problem (G(y))+ f (t, y) = 0 on finite and infinite intervals. The theory on finite intervals is based on a Leray-Schauder alternative, whereas the theory on infinite intervals is based on results on the finite interval and a diagonalization process.
Original languageEnglish (Ireland)
Pages (from-to)827-832
Number of pages6
JournalACTA MATHEMATICA SINICA-ENGLISH SERIES
Volume22
Issue number3
DOIs
Publication statusPublished - 1 May 2006

Keywords

  • Diagonalization process
  • Infinite interval
  • Leray-Schauder alternative
  • Upper and lower solutions

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Agarwal, RP,O'Regan, D,Stanek, S

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