Almost Periodic Solutions of Monotone Second-Order Differential Equations
Abstract: We give sufficient conditions for the existence of almost periodic solutions of the secondorder differential equation u′′(t) = f (u (t)) + e (t) on a Hilbert space H, where the vector field f: H → H is monotone, continuous and the forcing term e: ℝ → H is almost periodic. Notably, we state a result of existence and uniqueness of the Besicovitch almost periodic solution, then we approximate this solution by a sequence of Bohr almost periodic solutions.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Almost Periodic Solutions of Monotone Second-Order Differential Equations ; volume:11 ; number:3 ; year:2011 ; pages:541-554 ; extent:14
Advanced nonlinear studies ; 11, Heft 3 (2011), 541-554 (gesamt 14)
- Creator
-
Ayachi, Moez
Blot, Joël
Cieutat, Philippe
- DOI
-
10.1515/ans-2011-0304
- URN
-
urn:nbn:de:101:1-2405021710359.329248688611
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 11:01 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Ayachi, Moez
- Blot, Joël
- Cieutat, Philippe
Other Objects (12)
Almost periodic differential equations
Almost periodic and almost automorphic solutions to integro-differential equations
Almost periodic solutions of impulsive differential equations
A Note on Almost Periodic Variational Equations
Almost periodic and asymptotically almost periodic functions: part I
Almost periodic functions on Hausdorff almost periodic time scales
Multiple periodic solutions for the second-order nonlinear difference equations
Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces
The almost-periodic solutions of the weakly coupled pendulum equations
Pseudo-almost periodic solutions for first-order neutral differential equations
Periodic solutions for second-order difference equations with quadratic–supquadratic condition
Periodic Solutions to Second-Order Nonlinear Differential Equations in Banach Spaces
Almost periodic differential equations
Almost periodic and almost automorphic solutions to integro-differential equations
Almost periodic solutions of impulsive differential equations
A Note on Almost Periodic Variational Equations
Almost periodic and asymptotically almost periodic functions: part I
Almost periodic functions on Hausdorff almost periodic time scales
Multiple periodic solutions for the second-order nonlinear difference equations
Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces
The almost-periodic solutions of the weakly coupled pendulum equations
Pseudo-almost periodic solutions for first-order neutral differential equations
Periodic solutions for second-order difference equations with quadratic–supquadratic condition
Periodic Solutions to Second-Order Nonlinear Differential Equations in Banach Spaces
Almost periodic differential equations
Almost periodic and almost automorphic solutions to integro-differential equations
Almost periodic solutions of impulsive differential equations
A Note on Almost Periodic Variational Equations
Almost periodic and asymptotically almost periodic functions: part I
Almost periodic functions on Hausdorff almost periodic time scales
Multiple periodic solutions for the second-order nonlinear difference equations
Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces
The almost-periodic solutions of the weakly coupled pendulum equations
Pseudo-almost periodic solutions for first-order neutral differential equations
Periodic solutions for second-order difference equations with quadratic–supquadratic condition