Differential and Integral Equations

Almost periodic solutions for first-order differential equations

Mihai Bostani

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Abstract

We study here the almost periodic solutions of first-order differential equations. We give sufficient conditions for the existence and uniqueness. The method relies on penalization and a priori estimates. One of the main difficulties consists of verifying that the limit of the sequence of perturbed solutions remains almost periodic. We introduce the notions of minimal/maximal solutions.

Article information

Source
Differential Integral Equations, Volume 19, Number 1 (2006), 91-120.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356050534

Mathematical Reviews number (MathSciNet)
MR2193965

Subjects
Primary: 35Q99
Secondary: 35B40

Citation

Bostani, Mihai. Almost periodic solutions for first-order differential equations. Differential Integral Equations 19 (2006), no. 1, 91--120. https://projecteuclid.org/euclid.die/1356050534


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