Results 11 to 20 of about 211 (62)
Veterinary Dermatology, Volume 32, Issue 6, Page 668-e178, December 2021., 2021 Background Antimicrobial resistance in Staphylococcus pseudintermedius (SP) and the prevalence of meticillin‐resistant SP (MRSP) is increasing in dogs worldwide. Objectives To evaluate the influence of hospital size on antimicrobial resistance of SP and whether restricted use of antimicrobials based on antibiograms could reduce the identification of ...
Keita Iyori +5 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1151-1158, 2004., 2004 Let h be an entire function and Th a differential operator defined by Thf = f′ + hf. We show that Th has the Hyers‐Ulam stability if and only if h is a nonzero constant. We also consider Ger‐type stability problem for |1 − f′/hf| ≤ ϵ.
Takeshi Miura +2 more
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Periodic solutions for some partial functional differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 9-18, 2004., 2004 We study the existence of a periodic solution for some partial functional differential equations. We assume that the linear part is nondensely defined and satisfies the Hille‐Yosida condition. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution.
Rachid Benkhalti, Khalil Ezzinbi
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Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003 This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
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On the Lyapunov equation in Banach spaces and applications to control problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002 By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
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Investigation of interval stability of linear systems of neutral type of Lyapunov function method
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 71-81, 2002., 2002 Systems of differential equations with deviating argument of neutral type [1, 3, 8] are used. The mathematical model takes into account not only the previous moments of time, but also the speed of their change. These equations more adequately describe the dynamics of processes, but their investigation faces significant difficulties.
Denis Ya. Khusainov
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The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 8, Page 497-511, 2001., 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite‐dimensional Banach space, our analysis is achieved in ℝn. Our results are formulated in classical mathematics. They are proved within Internal Set Theory which is
Mustapha Lakrib
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On the “freezing” method for nonlinear nonautonomous systems with delay
International Journal of Stochastic Analysis, Volume 14, Issue 3, Page 283-292, 2001., 2001 Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the “freezing” method for ordinary differential equations.
Michael I. Gil′
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Stability investigation of quadratic systems with delay
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 85-92, 2000., 2000 Systems of differential equations with quadratic right‐hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov′s second method with functions of quadratic form.
Vladimir Davydov, Denis Khusainov
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International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 255-259, 1998., 1996 Based on our preceding paper, this note is concerned with the exponential stability of the solution semigroup for the abstract linear autonomous functional differential equation where L is a continuous linear operator on some abstract phase space B into a Banach space E. We prove that the solution semigroup of (∗) is exponentially stable if and only if
Jin Liang, Falun Huang, Tijun Xiao
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