منابع مشابه
Subharmonic Oscillations of Forced Pendulum-Type Equations
where f is periodic with minimal period T and mean value zero. We have in mind as a particular case the pendulum equation, where g(x) = A sin x. First results on the existence of subharmonic orbits in a neighborhood of a given periodic motion were obtained by Birkhoff and Lewis (cf. [3] and [ 143) by perturbation-type techniques. Rabinowitz [ 151 was able to prove the existence of subharmonic s...
متن کاملLie and Riccati Linearization of a Class of Liénard Type Equations
1 Department of Mathematics, Eastern University, Chenkalady 30350, Sri Lanka 2 International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa 3 Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathemat...
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In this paper, the problem of the existence of a periodic solution is studied for the second order differential equation with a singularity of repulsive type [Formula: see text] where [Formula: see text] is singular at [Formula: see text], φ and h are T-periodic functions. By using the continuation theorem of Manásevich and Mawhin, a new result on the existence of positive periodic solution is ...
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In this work the second-order generalized forced Liénard equation x′′ + ( f(x)+ k(x)x′ ) x′ + g(x) = p(t) is considered and a new condition for guaranteeing the existence of at least one periodic solution for this equation is given.
متن کاملApplication of Daubechies wavelets for solving Kuramoto-Sivashinsky type equations
We show how Daubechies wavelets are used to solve Kuramoto-Sivashinsky type equations with periodic boundary condition. Wavelet bases are used for numerical solution of the Kuramoto-Sivashinsky type equations by Galerkin method. The numerical results in comparison with the exact solution prove the efficiency and accuracy of our method.
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2008
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.02.010