Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 4, 1996, Pages 369-386

  Ait Dads, E ^a   Arino, O ^b  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

^b UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

Author keywords

Almost periodic; Asymptotically almost periodic; Differential equations; Eigenvalues; Ergodic perturbation; Exponential dichotomy; Floquet multipliers; Fourier exponents; Lyapounov functions; Mean value module; Pseudo almost periodic; Stable and unstable spaces

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES; TIME VARYING SYSTEMS; VECTORS;

CAUCHY SEQUENCE; ERGODIC PERTURBATION; EXPONENTIAL DICHOTOMY; FLOQUET MULTIPLIERS; FOURIER EXPONENTS; MEAN VALUE MODULE; PERTURBED LINEAR SYSTEM; PSEUDO ALMOST PERIODIC FUNCTIONS;

DIFFERENTIAL EQUATIONS;

EID: 0030216446     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00027-S     Document Type: Article

References (11)

1. ZHANG C., Pseudo almost-periodic solutions of some differential equations, J. Math. Analysis Applic. 181, 62-76 (1994).
2. AIT DADS E. & EZZINBI K., Positive pseudo almost periodic solution for some non linear delay integral equations (submitted to J. Cybern).
3. AMERIO-L. & PROUSE G., Almost-Periodic Functions and Functional Equations. Van Nostrand, New York (1971).
4. CORDUNEANU C., Almost-Periodic Functions. 2nd edn, Chelsea, New York (1989).
5. ARINO O. & GHABBAR Y., Existence de fronts d'ondes forcés par la méthode de dichotomie exponentielle. Publications internes de Pau, no 90/31.
6. COPPELL W. A., Dichotomy and reducibility, J. diff. Eqns 3, 500-521 (1967).
7. ZHENSHENG LIN, Theory of linear systems, Ann. Diff. Eqns, 6 (2) (1990).
8. PLAAT O., Ordinary Differential Equations. Holden-Day, Inc. (1971).
9. KURIHARA M., Quasi periodic Solutions of Quasi periodic Differential Difference Equations (preprint 1984).
10. FINK A. M., Almost-Periodic Differential Equations. Lecture Notes in Mathematics, Vol. 377, Springer Verlag, New York, Berlin (1974).
11. ZAIDMAN S., Solutions presque périodiques des équations differentielles abstraites, Enseign. Math. 24, 87-110 (1978).