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Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear term

✍ Scribed by Lishan Liu; Bingmei Liu; Yonghong Wu

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 593 KB
Volume: 224
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.05.007

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✦ Synopsis

This paper concerns the existence of nontrivial solutions for the following singular m-point boundary value problem with a sign-changing nonlinear term

is a sign-changing continuous function and may be unbounded from below. By applying the topological degree of a completely continuous field and the first eigenvalue and its corresponding eigenfunction of a special linear operator, some new results on the existence of nontrivial solutions for the above singular m-point boundary value problem are obtained.

An example is then given to demonstrate the application of the main results. The work improves and generalizes the main results of [G.

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