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Existence of positive solutions for non-positive higher-order BVPs

โœ Scribed by Ravi P. Agarwal; Fu-Hsiang Wong

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
457 KB
Volume
88
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We shall provide conditions on non-positive function f(t, uj .... ,u,-1) so that the boundary value problem (BVP)

for t E (0, 1) and n ~>2,

~u~-2~(0) -flu~"-~(O) = O,

?u("-2)(1) + 6u ~n l)(1) = 0, has at least one positive solution. Then, we shall apply this result to establish several existence theorems which guarantee the multiple positive solutions.

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