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Nodal solutions to nonlinear eigenvalue problems on time scales

โœ Scribed by Hua Luo; Ruyun Ma

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
203 KB
Volume
65
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

Using global bifurcation theory, we obtain the existence of solutions with specified numbers of simple generalized zeros for the nonlinear eigenvalue problem on time scales T

where r > 0 is a given constant. In addition, we argue that our existence theorem is a generalization of a previous result which shows the existence of at least one positive solution for the above problem.

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