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Generalized multipoint conjugate eigenvalue problems

โœ Scribed by Patricia J.Y Wong; R.P Agarwal

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
772 KB
Volume
32
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

This paper considers the following boundary value problem: d"'(t) = XP(4 I/), t E (0711, g(j) (ti) = 0, j=o ,...( ni-1, i=l,..., T, wherer12,nir1fori=l,...,r,CG1ni=nandO=tl<tz<..' < tr = 1. We shall determine those positive values of X for which the boundary value problem has a solution that is "positive" in some sense. Specifically, criteria are developed for X to constitute an interval, bounded ae well as unbounded, more so explicit intervals of X are presented. We also include examples to illustrate the importance of the results obtained.

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