Results 1 to 10 of about 463 (157)
The Bohl Spectrum for Linear Nonautonomous Differential Equations. [PDF]
J Dyn Differ Equ, 2017 We develop the Bohl spectrum for nonautonomous linear differential equations on a half line, which is a spectral concept that lies between the Lyapunov and the Sacker-Sell spectra. We prove that the Bohl spectrum is given by the union of finitely many intervals, and we show by means of an explicit example that the Bohl spectrum does not coincide with ...
Doan TS, Palmer KJ, Rasmussen M.
europepmc +5 more sources
Algebrization of Nonautonomous Differential Equations [PDF]
Journal of Applied Mathematics, 2015 Given a planar system of nonautonomous ordinary differential equations, dw/dt=F(t,w), conditions are given for the existence of an associative commutative unital algebra A with unit e and a function H:Ω⊂R2×R2→R2 on an open set Ω such that F(t,w)=H(te,w ...
María Aracelia Alcorta-García +3 more
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Time-Average on the Numerical Integration of Nonautonomous Differential Equations [PDF]
SIAM Journal on Numerical Analysis, 2018 This work was funded by Ministerio de Economia, Industria y Competitividad (Spain) through project MTM2016-77660-P (AEI/FEDER, UE).
Sérgio Blanes
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On the Stability of Nonautonomous Linear Impulsive Differential Equations [PDF]
Journal of Function Spaces and Applications, 2013 We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Normal Forms for Nonautonomous Differential Equations
Journal of Differential Equations, 2002 The author extends Henry Poincaré's normal form theory for autonomous differential equations \(\dot x=f(x)\) to nonautonomous differential equations \(\dot x=f(t,x)\) of Carathéodory type. Poincaré's nonresonance condition \(\lambda_j -\sum _{i=1}^n \ell _i \lambda _i \neq 0\) for eigenvalues \(\lambda_j\), \(\ell_i \in \mathbb{N}_0\), \(\sum_i^n ...
Stefan Siegmund
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Exponential Ordering for Nonautonomous Neutral Functional Differential Equations
SIAM Journal on Mathematical Analysis, 2009 29 pages.
VÍCTOR M Villarragut +2 more
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Nonautonomous Young Differential Equations Revisited [PDF]
Journal of Dynamics and Differential Equations, 2017 In this paper we prove that under weak conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in p-variation norms, greedy time techniques, and Gronwall-type lemma with the help of Shauder theorem of fixed points.
Cong, N., Luu, H., Hong, P.
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Reasons for nonlinearity: globality and noncommutativity [PDF]
Компьютерные исследования и моделирование, 2009 A dynamic process modeled by ordinary differential equations is considered. If a nonautonomous system of ordinary differential equations has a general solution in a certain area, than the system can be simplified by nonautonomous substitution of ...
Gennadii Nikolaevich Yakovenko
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MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS [PDF]
Stochastics and Dynamics, 2008 The concept of a Morse decomposition consisting of nonautonomous sets is reviewed for linear cocycle mappings w.r.t. the past, future and all-time convergences. In each case, the set of accumulation points of the finite-time Lyapunov exponents corresponding to points in a nonautonomous set is shown to be an interval.
Colonius, Fritz (Prof. Dr.) +2 more
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On Periodic Solutions of Higher-Order Functional Differential Equations
Boundary Value Problems, 2008 For higher-order functional differential equations and, particularly, for nonautonomous differential equations with deviated arguments, new sufficient conditions for the existence and uniqueness of a periodic solution are established.
B. Půža +2 more
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