Czasopismo
2002
|
Vol. 35, nr 1
|
11-26
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we give some properties of infinite linear systems and apply them to Hill equation. So we determine Floquet exponent and the space of the solutions.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
11-26
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
- LMAH Université du Havre, I.U.T, B.P 4006, 76610 Le Havre, France
Bibliografia
- [1] J. Defranza, K. Zeller, Hardy-Bohr Positivity, Proc. Amer. Soc. V. 123, Number 12 (1995), 3783-3788.
- [2] E. L. Ince, Periodic solutions of a linear differential equation of the second order, Proc. Cam. Philo. Soc. 23 (1926), 44-46.
- [3] R. Labbas, B. de Malafosse, On some Banach algebra of infinite matrices and applications. Demonstratio Math. 31 (1998), 153-168.
- [4] R. Labbas, B. de Malafosse, An application of the sum of linear operators in infinite matrix theory, Faculté des Sciences de l'Université d'Ankara, Series Al Mathematics and statistics Vol 46 1997.
- [5] I. J. Maddox, Infinite matrices of operators, Springer, Berlin, Heidelberg and New York, 1980.
- [6] B. de Malafosse, On the spectrum of the Cesàro operator in the space sr, Faculté des Sciences de l'Université d'Ankara, Series Al Mathematics and statistics Vol. 48 (1999), pp. 53-71.
- [7] B. de Malafosse, Systèmes linéaires infinis admettant une infinité de solutions, Atti dell' Accademia Peloritana dei Pericolanti di Messina, Classe I di Scienze Fis. Mat. e Nat. Vol. 64 (1986).
- [8] H. Mascari, B. de Malafosse, Systèmes linéaires infinis symétriques, Atti dell' Accademia Peloritana dei Pericolanti di Messina, Classe I di Scienze Fis. Mat. e Nat. Vol. 64 (1986).
- [9] H. Mascari, B. de Malafosse, Systèmes lineaires infinis associés à des series entières, Accademia Peloritana dei Pericolanti di Messina, Classe I di Scienze Fis. Mat. e Nat. Vol. 64 (1986).
- [10] Mursaleen: Application of infinite matrices to Walsh functions, Demonstratio Math. 27 (1994), 279-282.
- [11] J. T. Okutoyi, On the spectrum of C1 as operator on bv, Commun. Fac. Sci. Univ. Ank. Series Ax, V. 41 (1992), 197-207.
- [12] G. M. Petersen, A. C. Baker, Solvable infinite systems of linear equations, J. London Math. Soc. 39 (1964), 501-510.
- [13] G. M. Petersen, Regular matrix transformations, McGraw-Hill, 1966.
- [14] H. Poincaré, Sur les déterminants d'ordre infini, Bull. Soc. Math. Fr., 14,87, (1886).
- [15] J. B. Reade, On the spectrum of the Cesàro operator, Bull. London Math. Soc. 17 (1985), 263-267.
- [16] B. Rosseto, Détermination des exposants de Floquet de l'équation de Hill d'ordre n, Thèse de Doctorat d'Etat Es-Sciences, Univ. Toulon, 1983.
- [17] K. G. Valeev, On Hill's method in the theory of linear differential equations with periodic coefficients, J. Appli. Math. Mech., transl, of Prikl. Mat. 24 (1960), 1493-1505.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0042-0002