International Journal of Differential Equations

On the Almost Periodic Solutions of Differential Equations on Hilbert Spaces

Nguyen Thanh Lan

Abstract

For the differential equation ${u}^{\prime }(t)=Au(t)+f(t)$, $t\ge 0$ on a Hilbert space $H$, we find the necessary and sufficient conditions that the above-mentioned equation has a unique almost periodic solution. Some applications are also given.

Article information

Source
Int. J. Differ. Equ., Volume 2009 (2009), Article ID 575939, 11 pages.

Dates
Accepted: 13 April 2009
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399814

Digital Object Identifier
doi:10.1155/2009/575939

Mathematical Reviews number (MathSciNet)
MR2525716

Zentralblatt MATH identifier
1207.34054

Citation

Lan, Nguyen Thanh. On the Almost Periodic Solutions of Differential Equations on Hilbert Spaces. Int. J. Differ. Equ. 2009 (2009), Article ID 575939, 11 pages. doi:10.1155/2009/575939. https://projecteuclid.org/euclid.ijde/1485399814

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