homogeneous linear systems of differential equations with constant coefficients

... Robustness of stability of time-varying linear systems, J Differential Equations, 82 (1989) 219 [5] B Jacob, A formula for the stability radius of time-varying systems, J Differential Equations, ... Trang 1 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales Le Hong Lan!*, Nguyen Chi Liem? | Department of Basic Sciences, University of Transport and Communication, ... and formula of the stability radius were extended to linear time-invariant differential- algebraic systems [6, 7]; and to linear time-varying differential and difference-algebraic systems [8,

Ngày tải lên: 22/03/2014, 11:20

... existence of periodic solutions to differential equation with piecewise constant argument 1 Introduction In this note, we are concernded with differential equations with piecewise constant argument of ... almost pe- riodicity of solutions of partial fictional! differential equations, J Differential Equations 180 (2002), 125-152 (51 Y Hino and S Murakami, Periodic sohitions of a linear Volterra system ... 1993 —G Seifert, Almost solutions of certaint Differential Equations with piecewise constant delays and almost periodic time dependence, Journal of Differential Equations 164, (2001), 451-458 |

Ngày tải lên: 11/03/2015, 07:57

... stability of time-varying linear systems, -/ [l] Equations, 82 (1989) 219 l42(1998) 167 [5] B Jacob, A formula for the stability radius of time-varying systems, J Differential Equations, University of ... Joumal of Science, Mathematics - Physics 26 (2010) 163-173 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales , TDepartment Le Hong Lanl'*, Nguyen Chi LierrP of ... the stability radius of time-invarying linear dynamic equations with linear disturbance on time scales by giving the domain of exponential stability and showing the existence of a "bad" perturbation.whose

Ngày tải lên: 14/12/2017, 14:52

... Massera criterion for periodic solutions of differential equations with piecewise constant argument N.T Thanh Department of Mathematics, Hanoi University of Science, 334 Nguyen Trai, Hanoi, Viet ... In this paper, we are concerned with differential equations with piecewise constant argument of the form x˙ = Ax [t] + f [t] , x(t) ∈ Cn , (1.1) where A is a linear operator on Cn , f is a bounded ... equations (OFDE) of delay type in [2], to OFDE with advance and delay in [4,10,11], to abstract functional differential equations in [20] Recently, it has been extended to almost periodic solutions of

Ngày tải lên: 16/12/2017, 16:50

... of my situation Leif Mejlbro 21st May 2008 Download free eBooks at bookboon.com Calculus 4c-3 Homogeneous systems of linear differential equations Homogeneous systems of linear differential equations ... 4c-3 Contents Cont ent s Introduction Homogeneous systems of linear dierential equations Inhomogeneous systems of linear dierential equations 44 Examples of applications in Physics 62 Stability ... solution of the homogeneous system of equations is given by x y = c1 cosh t sinh t + c2 sinh t cosh t , c1 , c2 arbitrære Due to the linearity, the complete solution of the inhomogeneous system of differential

Ngày tải lên: 16/12/2017, 07:56

... sensing,” Journal of Computational Information Systems, vol 7, no 3, pp 880–885, 2011 [9] G Yu, “A derivative-free method for solving large-scale nonlinear systems of equations, ” Journal of Industrial ... largescale nonlinear system of equations, respectively Recently, the authors in [11] proposed a multivariate spectral gradient projection method for solving nonlinear monotone equations with convex ... fraction 𝑃 of problems for which the method is within a factor 𝑡 of the smallest number of function evaluations/CPU time Clearly, the left side of the figure gives the percentage of the test

Ngày tải lên: 01/11/2022, 08:30

... collection of invariant sets contained in AR ∪ Eρ , as t → ∞ Proof The proof of I is equal to the proof of I of Theorem 3.2 If for some t0 ∈ 0, ∞,xt0 φ, λ ∈ BR , then the proof of II follows ... functional-differential equations, ” Proceedings of the National Academy of Sciences of the United States of America, vol 50, pp 942–946, 1963 5 M Slemrod, “Asymptotic behavior of a class of abstract dynamical systems, ” ... possibility of studying the asymptotic behavior of solutions of differential equations without the explicit knowledge of solutions For this purpose, the invariance principle supposes the existence of a

Ngày tải lên: 10/11/2023, 18:15

... Difference Equations 12 R Yuan, On the spectrum of almost periodic solution of second-order differential equations with. .. difference equations with piecewise constant ... Dosly The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument EPCA, for short of the form xtpxt − 1 ... solutions of neutral delay- differential equations with piecewise. .. periodic solution of second order scalar functional differential equations with piecewise constant argument,”

Ngày tải lên: 21/06/2014, 20:20

... Description of the problem considered. The motivation of our investigation goes back to [10] dealing with the linear system of differential equations with constant coeffi- cients and constant delay. One of ... develop a method for construction of solutions of linear discrete systems with constant coefficients and w ith pure delay. Solutions are expressed with the aid of a special function called the discrete ... REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY J. DIBL ´ IK AND D. YA. KHUSAINOV Received 16 January 2006; Accepted 22 January 2006 The purpose of this

Ngày tải lên: 22/06/2014, 22:20

... asymptotic stability of the nonlinear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with infinite delays by means of the fixed point theory ... neutral differential equation, variable delays Introduction The objective of this article is to investigate the stability of the zero solution of the first-order linear neutral differential equations ... stochastic partial differential equations with delays by the fixed point method Zhou and Zhong [15] study the exponential p-stability of neutral stochastic differential equations with multiple delays

Ngày tải lên: 20/06/2014, 22:20

... appear in the study of systems with automatic regulation and automatic control of various technical systems It often occurs that the law of regulation depends on maximum values of some regulated ... Distribution of the zeros of the solutions of hyperbolic differential equations with maxima Rocky Mt J Math 37(4) (2007) 1271–1281 12 Otrocol, D, Rus, IA: Functional differential equations with maxima of ... be made available soon Extremal solutions for certain type of fractional differential equations with maxima Advances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7 Rabha W

Ngày tải lên: 21/06/2014, 17:20

... equations, ” Annals of Differential Equations, vol 19, no 1, pp 65–70, 2003 [20] S H Saker, “Oscillation of higher order neutral delay differential equations with variable coefficients,” Dynamic Systems and ... Dahiya and A Zafer Having an eventually positive solution w of degree of inequality (2.14) contradicts (c) The proof is complete The proof of the next theorem is similar, and hence we omit it Theorem ... solution of degree whenever n is odd; μ (c) equation (Ek ) with μ = and k = has no eventually positive solution of degree whenever n is even Then every solution x(t) of (1.1) is oscillatory Proof Let

Ngày tải lên: 22/06/2014, 18:20

... superlinear growth of the nonlinearity of f (t, p) in p Inspired by [21, 24, 25], in this paper, we investigate the following second-order impulsive nonlinear differential equations with periodic ... ordinary differential equations, ” Nonlinear Analysis, vol 51, no 7, pp 1223–1232, 2002 [24] C Bai, “Existence of solutions for second order nonlinear functional differential equations with periodic boundary ... 13 pages doi:10.1155/2007/41589 Research Article Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions Chuanzhi Bai and Dandan

Ngày tải lên: 22/06/2014, 19:20

... Euler-Maruyama approximation of stochastic differential equations with irregular coefficients. .. Slominski, L (1997) On stability and existence of solutions of SDEs with reflection at ... the proof of Lemma 3.4 (see also Lemma 3.5 of [25]), we have E[|g(Xsh ) − g(Xηhh (s) )|] ≤ C s − ηh (s) ηh (s) + Chβ/2 . Therefore, we conclude the proof of the statement. 3.6 Proof of Theorem ... Numerical Solution of Stochastic Differential Equations. Springer. [15] Kohatsu-Higa, A., Lejay, A. and Yasuda, K. (2012) On Weak Approximation of Stochastic Differential Equations with Discontinuous

Ngày tải lên: 14/10/2015, 07:53

... solutions of quasi -linear partial functional differential equations with unbounded delay, Funkcial Ek¨ ac 37 Ž1994., 329᎐343 10 H R Henriquez, Approximation of abstract functional differential ... equations with unbounded delay, Indian J Pure Appl Math 27 Ž1996., 357᎐386 11 H R Henriquez, Regularity of solutions of abstract retarded functional differential equations with ... for linear functional differential equations, J Differential Equations 153 Ž1999., 407᎐441 21 H Thieme, Semiflows generated by... perturbations of non-densely defined operators, Differential

Ngày tải lên: 29/10/2015, 14:19

... deals with the solvability of initial-value problems (IVPs) and multipoint boundaryvalue problems (MPBVPs) for linear implicit non-autonomous systems of difference equations Keywords: Linear ... for transferable differential- algebraic equations I Linear case, Vietnam J Math J Clin Invest., 25(4) (1997), 347358 [2] R Maărz, On linear differentialalgebraic equations and linearizations, ... discretizations of linear differential- algebraic equations (DAEs) Atịx0 ỵ Ctịx ẳ qtị 2ị Maărz [2] proposed an unified approach to linear DAEs (Eq (2)) under an assumption on the smoothness of KerA(t

Ngày tải lên: 16/12/2017, 02:52

... differential equations with deviating arguments Nonlinear Dyn Syst Theory 13(3), 242–257 (2013) Henriquez, H.R.: Periodic solutions of quasi -linear partial functional differential equations with ... non-autonomous partial neutral differential equations with finite delay, we denote by (X , ) the Banach space X endowed with the norm and L(X , Z ) the space of linear operators from X to Z ... essentially the study of existence and uniqueness of mild solution of Eq (1.1) via some fixed point theory We dealed in Sect with the existence and uniqueness of strict solution of (1.1) The last

Ngày tải lên: 10/03/2021, 15:55

... Difference Equations 2012, 2012:113 http://www.advancesindifferenceequations.com/content/2012/1/113 RESEARCH Open Access Attracting and invariant sets of nonlinear neutral differential equations with ... Lyapunov sense of nonlinear neutral differential equations with delays Our results are independent of time delays and not require the differentiability, boundedness of the derivative of delay functions ... sense of a nonlinear neutral differential equations with delays are obtained Our results are independent of the time delays, and not require the differentiability, boundedness of the derivative of

Ngày tải lên: 02/11/2022, 08:52

... solutions of nonlinear elliptic equations involving critical exponents Commun Pure Appl Math 34, 437-477 (1983) 21 Li, S, Zou, W: Remarks on a class of elliptic problems with critical exponents Nonlinear ... trajectories based on linear equations J Optim Theory Appl 70, 277-297 (1991) 25 Carter, TE: Necessary and sufficient conditions for optimal impulsive rendezvous with linear equations of motion Dyn Control ... controllability of linear dynamical systems with applications to maneuvers of spacecraft Math Probl Eng 2, 277-299 (1996) 27 Prado, AFBA: Bi-impulsive control to build a satellite constellation Nonlinear

Ngày tải lên: 02/11/2022, 14:28

... Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients J. Ba ˇ stinec, 1 J. Dibl ´ ık, 1, 2 D. Ya. Khusainov, 3 and A. Ryvolov ´ a 1 1 Department of Mathematics, ... vxx T Hx has been used to investigate the stability of systems 1.1 in 5see 6 as well. The stability of linear neutral systems of type 1.1,butwithdifferent delays h 1 and h 2 ,isstudiedin1 ... Theory of Stability of Motion, Fizmatgiz, Moscow, Russia, 1959. 3 N. N. Krasovski ˘ ı, Stability of Motion. Applications of Lyapunov’s Second Method to Differential systems and Equations with...

Ngày tải lên: 21/06/2014, 11:20