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Periodic solutions of singular second order differential equations: Upper and lower functions

✍ Scribed by Robert Hakl; Pedro J. Torres; Manuel Zamora


Book ID
113811386
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
313 KB
Volume
74
Category
Article
ISSN
0362-546X

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Periodic solutions of the second-order d
✍ Zaihong Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 231 KB

In this paper, we deal with the existence of periodic solutions of the second-order di erential equations x + g(x) = p(t) with singularity near origin. By using the phase-plane analysis methods, we prove that the given equation has at least one periodic solution when g(x) exhibits semilinear conditi