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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 56
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 4, July 2005
  4. On the existence of periodic solutions of Rayleigh equations
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 6, November 2005
Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 5, September 2005
Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 4, July 2005
Exponentially long time stability near an equilibrium point for non–linearizable analytic vector fields
On a nonlocal model of image segmentation
On the existence of periodic solutions of Rayleigh equations
Schrödinger equations with concave and convex nonlinearities
Characterization of polynomial decay rate for the solution of linear evolution equation
Nonlinear sloshing and passage through resonance in a shallow water tank
Parallel shear flows of fluids with a temperature dependent viscosity
Diffraction of sound waves by a rigid cylindrical cavity of finite length with an internal impedance surface
Some problems in nonlinear magnetoelasticity
Book Review : Zeitschrift für angewandte Mathematik und Physik , Volume 56 , Issue 4
Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 3, May 2005
Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 2, March 2005
Zeitschrift für angewandte Mathematik und Physik : Volume 56, Issue 1, January 2005
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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On the existence of periodic solutions of Rayleigh equations

Content Provider SpringerLink
Author Wang, Zaihong
Copyright Year 2005
Abstract In this paper, we study the existence of periodic solutions of Rayleigh equation $$ x'' + f(x') + g(x) = p(t) $$ where f, g are continuous functions and p is a continuous and 2π-periodic function. We prove that the given equation has at least one 2π-periodic solution provided that f(x) is sublinear and the time map of equation x′′ + g(x) = 0 satisfies some nonresonant conditions. We also prove that this equation has at least one 2π-periodic solution provided that g(x) satisfies $$\lim_{|x|\to+\infty}sgn(x)g(x) = +\infty$$ and f(x) satisfies sgn(x)(f(x) − p(t)) ≥ c, for t ∈R, |x| ≥ d with c, d being positive constants.
Ending Page 608
Page Count 17
Starting Page 592
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 4
Volume Number 56
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2005-01-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Rayleigh equation periodic solution Mathematical Methods in Physics Periodic solutions Nonlinear oscillations, coupled oscillators Theoretical and Applied Mechanics continuation theorem Lyapunov function
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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