Unboundedness in a Duffing Equation with Polynomial Potentials

Yiqian Wang

Type: Article

Publication Date: 2000-01-01

Citations: 17

DOI: https://doi.org/10.1006/jdeq.1999.3666

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Locations

Journal of Differential Equations - View

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+	Lagrange stability for impulsive Duffing equations	2018	Jianhua Shen Lu Chen Xiaoping Yuan
+	Lagrange Stability for Duffing-Type Equations	2000	Xiaoping Yuan
+	Longtime closeness estimates for bounded and unbounded solutions of non-recurrent Duffing equations with polynomial potentials	2019	Yaqun Peng Daxiong Piao Yiqian Wang
+	The coexistence of quasi-periodic and blow-up solutions in a class of Hamiltonian systems	2011	Zhiguo Wang Yiqian Wang Hui Lu
+	Boundedness for sublinear reversible systems with a nonlinear damping and periodic forcing term	2010	Xinping Wang
+ PDF Chat	Boundedness of solutions for Duffing equation with low regularity in time	2017	Xiaoping Yuan
+	Quasiperiodic solutions of higher dimensional Duffing’s equations via the KAM theorem	2001	Fubao Zhang
+	Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials	2023	Yaqun Peng Yan Zhuang
+	Boundedness for sublinear Duffing equations with time-dependent potentials	2009	Yiqian Wang
+	Lagrange stability for a class of impulsive Duffing equation with low regularity	2024	Xiaolong He Yueqin Sun Jianhua Shen

Works Cited by This (10)

Action	Title	Year	Authors
+	Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem	1992	Bin Liu
+	Oscillatory Escape in a Duffing Equation with a Polynomial Potential	1997	Mark Levi Jiangong You
+	Unbounded Solutions of ÿ + <i>g(y)</i> = <i>p{t)</i>	1966	J. E. Littlewood
+	Boundedness of solutions for Duffing-type equation	1998	Xiaoping Yuan
+	On the continuation of solutions of a certain non-linear differential equation	1967	Charles V. Coffman D. F. Ullrich
+	Boundedness of solutions for polynomial potentials withC 2 time dependent coefficients	1996	Yiqian Wang Jiangong You
+	Invariant curves and time-dependent potentials	1991	Stephane Laederich Mark Lev
+ PDF Chat	A case of boundedness in Littlewood's problem on oscillatory differential equations	1976	G. R. Morris
+	Boundedness of solutions via the twist-theorem	1987	R. Dieckerhoff Eduard Zehnder
+	On Littlewood’s Counterexample of Unbounded Motions in Superquadratic Potentials	1992	Mark Levi