Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Inequalities for some positive solutions of the linear differential equation with delay ẋ(t) = -c(t)x(t-τ) are obtained. A connection with an auxiliary functional nondifferential equation is used.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
131-137
Opis fizyczny
Daty
wydano
1993
otrzymano
1992-05-04
poprawiono
1992-10-28
Twórcy
autor
- Department of Mathematics, Faculty of Electrical Engineering, Technical University of Brno, Areál Vut Kraví Hora 21 (XV), 602 00 Brno, Czech
Bibliografia
- [1] R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York 1963.
- [2] J. Diblík, On existence and asymptotic behaviour of solutions of singular Cauchy problem for certain system of ordinary differential equations, Fasc. Math. 18 (1988), 51-62.
- [3] J. Hale, Theory of Functional Differential Equations, Springer, New York 1977.
- [4] Ph. Hartman, Ordinary Differential Equations, Wiley, New York 1964.
- [5] V. B. Kolmanovskij and V. R. Nosov, Stability of Functional Differential Equations, Academic Press, 1986.
- [6] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Vol. 2, Academic Press, 1969.
- [7] K. P. Rybakowski, Ważewski's principle for retarded functional differential equations, J. Differential Equations 36 (1980), 117-138.
- [8] K. P. Rybakowski, A topological principle for retarded functional differential equations of Carathéodory type, ibid. 39 (1981), 131-150.
- [9] T. Ważewski, Sur un principe topologique de l'examen de l'allure asymptotique des intégrales des équations différentielles ordinaires, Ann. Soc. Polon. Math. 20 (1947), 279-313.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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