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Positive solutions for Eigenvalue problems of fourth-order elastic beam equations

✍ Scribed by Qingliu Yao

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
366 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, we investigate the positive solutions of equations wc4)(t) = xf(t, w(t)) with w(O) = w(l) = w'(O) = w'(l) = 0. We obtain several existence and multiplicity results by an application of the Krasnosel'skii fixed-point theorem of cone expansion-compression type. This class of equations usually describes the deformations of elastic beams with fixed both endpoints.

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