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Second order problems with functional conditions including Sturm–Liouville and multipoint conditions

✍ Scribed by Alberto Cabada; Donal O'Regan; Rodrigo L. Pouso

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
147 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we study the solvability of equations of the form

‐(d/d__t__)φ (t, u, u (t), u ′(t)) = f (t, u, u (t), u ′(t)) for a.e. t ∈ I = [a, b ],

together with functional‐boundary conditions which cover, amongst others, Sturm–Liouville and multipoint boundary data as particular cases. Our approach uses upper and lower solutions together with growth restrictions of Nagumo's type. An example is presented to show the applicability of the obtained results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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