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Eigenvalues of a system of generalized right focal problems with deviating arguments

✍ Scribed by Patricia J.Y. Wong

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 191 KB
Volume: 218
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.06.008

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✦ Synopsis

We consider the following system of third-order three-point generalized right focal boundary value problems

where > 0, i = 1, 2, . . . , n, 1 2 (a + b) < z < b, i 0, i > 0, and i are deviating arguments. Criteria will be developed so that for values of that form an interval (bounded or unbounded), the above system has a fixed-sign solution u = (u 1 , u 2 , . . . , u n ), i.e., for each 1 i n, i u i (t) 0 for t ∈ [a, b], where i ∈ {1, -1} is fixed. Explicit intervals for such values of will also be presented. A numerical example is included to illustrate the results obtained.

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