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Positive solutions of sublinear Sturm–Liouville problems with changing sign nonlinearity

✍ Scribed by Hongyu Li; Jingxian Sun

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
540 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, the following nonlinear Sturm-Liouville problem

is discussed by topological methods. In the case that the nonlinear term is non-singular or singular, a global structure of the positive solution set of the above problem is obtained, and the existence of positive solutions is proved under the condition that the nonlinear term is allowed to change sign.

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