Uniform decay estimates for solutions of a class of retarded integral inequalities
Uniform decay estimates for solutions of a class of retarded integral inequalities
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一类延迟积分不等式解的均匀衰减估计
DOI：
10.1016/j.jde.2020.08.017
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发表时间：
2019-07
影响因子：
2.4
通讯作者：
Ju Xuewei
中科院分区：
文献类型：
--
作者：
Li Desheng;Liu Qiang;Ju Xuewei
Some uniform decay estimates are established for solutions of the following type of retarded integral inequalities: y (t)≤ E (t, τ)‖ y τ‖+∫ τ t K 1 (t, s)‖ y s‖ d s+∫ t∞ K 2 (t, s)‖ y s‖ d s+ ρ, t≥ τ≥ 0. As a simple example of application, the retarded scalar functional differential equation x˙=− a (t) x+ B (t, x t) is considered, and the global asymptotic stability of the equation is proved under weaker conditions. Another example is the ODE system x˙= F 0 (t, x)+∑ i= 1 m F i (t, x (t− r i (t))) on R n with superlinear nonlinearities F i (0≤ i≤ m). The existence of a global pullback attractor of the system is established under appropriate dissipation conditions. The third example for application concerns the study of the dynamics of the functional cocycle system d u d t+ A u= F (θ t p, u t) in a Banach space X with sublinear nonlinearity. In particular, the existence and uniqueness of a nonautonomous equilibrium solution Γ is obtained under the hyperbolicity assumption on operator A and some additional hypotheses, and the global asymptotic stability of Γ is also addressed.
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影响因子：
1
作者：
Chueshov, Igor;Rezounenko, Alexander
通讯作者：
Rezounenko, Alexander
DOI：
10.2307/3614217
发表时间：
1968-10
期刊：
The Mathematical Gazette
影响因子：
--
作者：
F. Smithies;I. G. Petrovski;Richard A. Silverman
通讯作者：
F. Smithies;I. G. Petrovski;Richard A. Silverman
DOI：
10.1002/9780470226773.ch22
发表时间：
1999-06
期刊：
Applied Numerical Methods Using Matlab®
影响因子：
--
作者：
Bernd S. W. Schröder
通讯作者：
Bernd S. W. Schröder
影响因子：
0.7
作者：
Jintao Wang;Desheng Li;Jinqiao Duan
通讯作者：
Jintao Wang;Desheng Li;Jinqiao Duan
影响因子：
8.8
作者：
Yuming Qin
通讯作者：
Yuming Qin