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On periodic solutions to second-order Duffing type equations
- 1.0480063 - MÚ 2019 RIV GB eng J - Journal Article
Lomtatidze, Alexander - Šremr, Jiří
On periodic solutions to second-order Duffing type equations.
Nonlinear Analysis: Real World Applications. Roč. 40, April (2018), s. 215-242. ISSN 1468-1218. E-ISSN 1878-5719
Institutional support: RVO:67985840
Keywords : periodic solution * Duffing type equation * positive solution
OECD category: Applied mathematics
Impact factor: 2.085, year: 2018
http://www.sciencedirect.com/science/article/pii/S1468121817301335?via%3Dihub
Sufficient and necessary conditions are found for the existence of a positive periodic solution to the Duffing type equation u''=p(t)u+q(t,u)u. The results obtained are compared with facts well known for the autonomous Duffing equation y''ay-by3=0. Uniqueness of solutions and possible generalizations are discussed, as well.
Permanent Link: http://hdl.handle.net/11104/0275980
Number of the records: 1