✦ LIBER ✦

Positive solutions of 2mth-order boundary value problems

✍ Scribed by Chuan Jen Chyan; J. Henderson

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 471 KB
Volume: 15
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(02)00040-x

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✦ Synopsis

We study the existence of positive solutions of the differential equation (-l)my(2m) (t) = f(t,y(t),y"(t), . . ,y(2(m-'))(t)) with the boundary condition Y(~~)(O) = 0 = I, 0 5 i 5 m -1, and Y(~~)(O) = 0 = y( 2i+1)(l), 0 5 i 5 m -1. We show the existence of at least one positive solution if f is either superlinear or sublinear by an application of a fixed-point theorem in a cone.

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