NDLI: BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM

Content Provider	Scilit
Author	Herzog, Gerd Lemmert, Roland
Copyright Year	2008
Description	We use an intermediate value theorem for quasi-monotone increasing functions to prove the existence of the smallest and the greatest solution of the Dirichlet problemu″ +f(t,u) = 0,u(0) = α,u(1) = β between lower and upper solutions, wheref:[0,1] ×E→Eis quasi-monotone increasing in its second variable with respect to a regular cone.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8F28A54212AA7CC38D23D2194B7887D3/S0017089508004394a.pdf/div-class-title-boundary-value-problems-via-an-intermediate-value-theorem-div.pdf
Ending Page	537
Page Count	7
Starting Page	531
ISSN	00170895
e-ISSN	1469509X
DOI	10.1017/s0017089508004394
Journal	Glasgow Mathematical Journal
Issue Number	3
Volume Number	50
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2008-09-01
Access Restriction	Open
Subject Keyword	Glasgow Mathematical Journal
Content Type	Text
Resource Type	Article
Subject	Mathematics

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BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM