Abstract
The paper is aimed at providing some results on the almost periodicity of solutions to some general functional or functional differential equations. The term “general” is meant in the sense that the equations involve operators of general form, acting on the space of almost periodic functions. First order and second order equations are dealt with.
Dedicated to Arrigo Cellina and James Yorke
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. Corduneanu, Almost Periodic Functions, 2nd ed. Chelsea Publ. Co, New York, 1989 (Distributed by AMS and Oxford Univ. Press).
C. Corduneanu, Two qualitative inequalities, J. Diff. Equations, 168 (1986), pp. 16–25.
C. Corduneanu, Integral Equations and Applications. Cambridge University Press, 1991.
C. Corduneanu, Almost Periodic Solutions for a Class of Functional-Differential Equations. Functional Differential Equations (Israel) in print.
C. Corduneanu, Almost Periodic Oscillations and Waves, vol. 14, 2007, pp. 223–229.
A. Halanay, Differential Equations: Stability, Oscillations, Time Lag. Academic Press, 1966.
J. L. Massera,Un criterio de existencia de soluciones casiperiodicas de ecuaciones diferenciales. Publ. Inst. Mat. y Estad., Fac. Ing. Agrim, 3 (1958), pp. 89–102 (Montevideo).
Yu. V. Trubnikov and A. I. Perov, Differential Equations with Monotone Nonlinearities (Russian). Nauka i Tehnika, Minsk, 1986.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Birkhäuser Verlag Basel/Switzerland
About this paper
Cite this paper
Corduneanu, C. (2007). Almost Periodicity in Functional Equations. In: Staicu, V. (eds) Differential Equations, Chaos and Variational Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8482-1_12
Download citation
DOI: https://doi.org/10.1007/978-3-7643-8482-1_12
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8481-4
Online ISBN: 978-3-7643-8482-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)