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Your search keyword '"Piao, Daxiong"' showing total 2 results
Start Over Author "Piao, Daxiong" Topic boundedness of solutions
2 results on '"Piao, Daxiong"'

1. Boundedness for the general semilinear Duffing equations via the twist theorem

Author

Jiao, Lei, Piao, Daxiong, and Wang, Yiqian

Subjects
*DUFFING equations, *HAMILTONIAN systems, *CONTACT transformations, *INTEGRALS, *MATHEMATICAL proofs, *DIOPHANTINE analysis, *NUMERICAL solutions to nonlinear differential equations
Abstract

Abstract: In this paper, we prove the boundedness of all solutions for the periodic equation , where ω satisfies the Diophantine condition, is bounded, and is bounded for . [Copyright &y& Elsevier]

Published
2012
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2. Boundedness of solutions for reversible system via Moser's twist theorem

Author

Piao, Daxiong and Li, Wenling

Subjects
*FUNCTIONS of bounded variation, *FRACTIONAL calculus, *EQUATIONS, *CONTINUITY
Abstract

Abstract: In this paper we consider the problem of the boundedness of all solutions for the reversible system It is shown that all the solutions are bounded provided that the are of bounded variation in and the derivatives of and are Lipschitzian. It is also shown that there exist ''s being discontinuous everywhere such that all solutions of the equation are bounded. This implies that the continuity of ''s is not necessary for the boundedness of solutions of the equation. [Copyright &y& Elsevier]

Published
2008
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