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2π-Periodic solutions of Duffing's equation

✍ Scribed by O.O. Galaktionova; V.A. Zlatoustov


Publisher
Elsevier Science
Year
1986
Weight
684 KB
Volume
26
Category
Article
ISSN
0041-5553

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📜 SIMILAR VOLUMES


Periodically Forced Duffing's Equation
✍ B. Mehri; M. Ghorashi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 195 KB

Sufficient conditions are established for an equation of the type \(x^{\prime \prime}+\alpha x+\beta x^{3}=p(t)\) to have periodic solutions, where \(p(t)\) is periodic. The results are applied to analyze forced vibrations of a mass supported by a non-linear spring. To verify sufficiency of the cond