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On interior points of a set of equations with singular periodic solutions

โœ Scribed by Yu. V. Churin


Book ID
111502478
Publisher
Allerton Press, Inc.
Year
2007
Tongue
English
Weight
117 KB
Volume
40
Category
Article
ISSN
1063-4541

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Positive periodic solutions of Hillโ€™s eq
โœ Jifeng Chu; Ming Li ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

We study the existence and multiplicity of positive periodic solutions of Hill's equations with singular nonlinear perturbations. The new results are applicable to the case of a strong singularity as well as the case of a weak singularity. The proof relies on a nonlinear alternative principle of Ler