Exponential decay and existence of almost periodic solutions for some linear forced differential equations.

Cieutat, Philippe; Haraux, Alain

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Displaying similar documents to “Exponential decay and existence of almost periodic solutions for some linear forced differential equations.”

On some general almost periodic optimal control problems : links with periodic problems and necessary conditions

Denis Pennequin (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we are concerned with periodic, quasi-periodic (q.p.) and almost periodic (a.p.) Optimal Control problems. After defining these problems and setting them in an abstract setting by using Abstract Harmonic Analysis, we give some structure results of the set of solutions, and study the relations between periodic and a.p. problems. We prove for instance that for an autonomous concave problem, the a.p. problem has a solution if and only if all problems (periodic with fixed...

Generalized almost periodic functions

J. W. McCoy (1970)

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On nth-order differential operators with Bohr-Neugebauer type property.

Aribindi Satyanarayan Rao (1987)

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On an almost periodicity criterion of solutions for systems of nonhomogeneous linear differential equations with almost periodic coefficients

Staněk, Svatoslav (1989)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Liouville type results for periodic and almost periodic linear operators

Luca Rossi (2009)

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On the Stepanov almost periodic solution of a second-order infinitesimal generator differential equation.

Rao, Aribindi Satyanarayan (1991)

International Journal of Mathematics and Mathematical Sciences

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Almost periodic solutions to second order neutral differential equations.

Corduneanu, C. (2005)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Quasicrystals and almost periodic functions

Mariusz Zając (1999)

Annales Polonici Mathematici

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We consider analogies between the "cut-and-project" method of constructing quasicrystals and the theory of almost periodic functions. In particular an analytic method of constructing almost periodic functions by means of convolution is presented. A geometric approach to critical points of such functions is also shown and illustrated with examples.