Differential Equations with Limit-periodic Forcings

  title={Differential Equations with Limit-periodic Forcings},
  author={A. I. Alonso and Rafael Obaya and Rafael Ortega},
The present paper is concerned with scalar differential equations of first order which are limit periodic in the independent variable. Some tools provided by the theories of exponential dichotomies and periodic differential equations are applied to prove that, in a generic sense, the existence of a bounded solution implies the existence of a limit periodic solution. 

From This Paper

Topics from this paper.
6 Citations
10 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 10 references

Almost periodic differential equations. Lecture Notes in Mathematics 377

  • A. M. Fink
  • MR
  • 1974
Highly Influential
6 Excerpts

A nonstandard resonance problem for ordinary differential equations

  • S. Ahmad
  • Trans. Am. Math. Soc
  • 1991
Highly Influential
4 Excerpts

Landesman-Lazer conditions for boundary value problems: a nonlinear version of resonance

  • J. Mawhin
  • Bolet́ın de la Sociedad Española de Matemática…
  • 2000
1 Excerpt

Limit periodic functions, adding machines and solenoids

  • H. Bell, K. Meyer
  • J. Dynamics and Diff. Eqs
  • 1995
1 Excerpt

On almost-periodic linear differential systems of Millions̆c̆ikov and Vinograd

  • R. A. Johnson
  • J. Math. Anal. App
  • 1982
1 Excerpt

A linear almost periodic equation with an almost automorphic solution

  • R. A. Johnson
  • Proc. Amer. Math. Soc
  • 1981
1 Excerpt

Proof of the existence of irregular systems of linear differential equations with almost periodic coefficients

  • V. M. Millions̆c̆ikov
  • Differential Equations
  • 1968
1 Excerpt

Nonlocal problems of the theory of oscillations

  • V. A. Pliss
  • Departamento de Matemática Aplicada a la…
  • 1966
1 Excerpt

The existence of periodic solutions of systems of differential equations

  • J. L. Massera
  • Duke Math. J
  • 1950
1 Excerpt

Similar Papers

Loading similar papers…