Existence of periodic solutions of duffing equations
نویسندگان
چکیده
منابع مشابه
Existence of Solutions of Periodic Boundary Value Problems for Impulsive Functional Duffing Equations at Nonresonance Case
This paper deals with the existence of solutions of the periodic boundary value problem of the impulsive Duffing equations: x′′ t αx′ t βx t f t, x t , x α1 t , . . . , x αn t , a.e. t ∈ 0, T , Δx tk Ik x tk , x′ tk , k 1, . . . , m, Δx′ tk Jk x tk , x′ tk , k 1, . . . , m, x i 0 x i T , i 0, 1. Sufficient conditions are established for the existence of at least one solution of above-mentioned ...
متن کاملRate of Decay of Stable Periodic Solutions of Duffing Equations
In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a periodic solution. Furthermore, the stability of the unique periodic solution is analyzed; the Supported in part by the science funds of Xi’an Jiaotong University Supported in part by the Xiao-Xiang Funds, Hunan Normal Un...
متن کاملPeriodic Solutions of Damped Duffing-type Equations with Singularity
We consider a second order equation of Duffing type. By applying Mawhin’s continuation theorem and a relationship between the periodic and the Dirichlet boundary value problems for second order ordinary differential equations, we prove that the given equation has at least one positive periodic solution when the singular forces exhibits certain some strong force condition near the origin and wit...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1989
ISSN: 0022-0396
DOI: 10.1016/0022-0396(89)90073-9