Abstract
A sharp estimate of the growth of solutions of the initial value problem for systems of the formwhere Cj(t) are matrices with elements of power growth, is found. As a corollary of this result, it follows, for instance, that each solution of the initial value problem satisfies the estimate ‖u(t)‖ ≤ Cexp{γln2(1+|t|)} for some C > 0 and γ > 0.
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. The Difference-Differential Equation F'(x) = eαx+β F(x–1) I
2. THE PHRAGMÉN-LINDELÖF PRINCIPLE AND A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS
3. [11] Liu Y. Asymptotic behaviour of functional-differential equations with proportional delays. Euro. J. Appl. Math. (to appear).
4. The functional-differential equation y′(x) = ay(λx)+by(x);Kato;Bull. Amer. Math. Soc.,1971
5. [8] Iserles A. & Liu Y. On neutral functional-differential equations with proportional delays (preprint). Cambridge 1993, DAMTP 1993/NA3 (to appear in J. Math. Anal. Appl.)
Cited by
29 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献