non homogeneous differential equations with constant coefficients

... dynamic equations with constant coefficients on time scales Assume that the nominal equation is uniformly exponentially stable, where A ¢ K?%? (K = R or K= C) Consider the perturbed equation with ... Trang 1Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales Le Hong Lan!*, Nguyen Chi Liem? | Department of Basic ... exponentially stable if there exists a positive constant a with —a~ € R* such that for every 7 € T* there exists a N = N(r) > 1, the solution of (7) with the initial condition x(T) = xo satisfies...

Ngày tải lên: 22/03/2014, 11:20

... dynamic equations with constant coefficients on time scales Assume that the nominal equation is uniformly exponentially stable, where a 6 ngdxd (K : IR or K : C) Consider the perturbed equation with ... exponentially stable if there exists a positive constant a with -a e R+ such that for every r € T+ there exists a N : N(") ) 1, the solution of (7) with the initial condition n(r): 16 satisfies ... and tind out some its properties The last section deals with the formula of the stability radius for (b) 2 Preliminaries A time scale is a nonempty closed subset of the real numbers IR., and we...

Ngày tải lên: 14/12/2017, 14:52

... measurable bounded nonnegative function on [0, T], and let v(ã) be a nonnegative integrable function on [0, T] If u(t)≤c+Z t 0 v(s)u(s)ds for all 0≤t≤T, then u(t)≤cexpStochastic differential equationsLet ... C2 holds for κ 1 = κ 2 = 1 +ε, L 1 ∈ R, L 2 ≥ 0 with a constant ε > 0 This, combined with Condition C4 and Cauchy’s inequality, implies that, with Le= max{3, L 1 , L 2 } for any x, x∈R d and ... evy-driven McKean-Vlasov SDEs with irregular coefficientsIn this section, we present results concerning the exact solution of the McKean-Vlasov stochastic differential equation with jumps (3.1) First,...

Ngày tải lên: 17/09/2025, 16:23

... existence of periodic solutions to differential equation with piecewise constant argument In this note, we are concernded with differential equations with piecewise constant argument of the form ... ordinary differential equations, saying that the linear differential equation of the form b= Alt)e(t) + f(t), where A, f is continuous, periodic with the same period 7, has a periodic solution with ... bounded continuous function from R to C”, |.| is the largest integer function Differential equations with piecewise constant argument have been considered in many works since they are found appropriate...

Ngày tải lên: 11/03/2015, 07:57

... solutions to differential equation with piecewise constant argument 2003 Published by Elsevier Inc 1 Introduction In this paper, we are concerned with differential equations with piecewise constant ... Trang 1Massera criterion for periodic solutionsof differential equations with piecewise constant argument N.T Thanh Department of Mathematics, Hanoi University of Science, ... bounded continuous function from R to C n,[·] is the largest integer function Differential equations with piecewise constant argument have been considered in many works since they are found appropriate...

Ngày tải lên: 16/12/2017, 16:50

... neutral nonlinear differential equations with delay. Nonlinear Anal 74(12):3926 –3933 (2011) doi:10.1016/j.na.2011.02.029 17 Raffoul, YN: Stability in neutral nonlinear differential equations with ... with Sakthivel and Luo [11,12] investigate the asymptotic stability of the non-linear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with ... 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 multi-ple delays...

Ngày tải lên: 20/06/2014, 22:20

... 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 Ibrahim ... existence of univalent solutions for fractional integral equations with maxima in complex domain, by using technique associated with measures of non-compactness In this article, we establish the extreme ... fractional differential equations, because some boundary conditions are automatically fulfilled and due to lower order differ-ential requirements (see [9]) Differential equations with maximum arise naturally...

Ngày tải lên: 21/06/2014, 17:20

... Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces Nonlinear Anal TMA 70, 2593–2601 (2009) [15] Xue, XM: L p theory for semilinear nonlocal problems with ... functional-differentialevolution nonlocal problem Nonlinear Anal 34, 65–72 (1998) Trang 21[10] Benchohra, M, Ntouyas, S: Nonlocal Cauchy problems for neutral functional differentialand integrodifferential ... governed by semilinear differentialinclusions in a Banach space with a noncompact semigroup Nonlinear Anal TMA 70,3424–3436 (2009) [13] Xue, XM: Semilinear nonlocal problems without the assumptions...

Ngày tải lên: 21/06/2014, 17:20

... pagesdoi:10.1155/2008/407352 Research Article Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays Meng Wu, 1 Nan-jing Huang, 1 and Chang-Wen Zhao 2 1 Department ... now, the fixed point theory is almost used to deal with the stability for deterministic differential equations, not for stochastic differential equations Very recently, Luo 6 studied the mean ... class of linear scalar neutral stochastic differential equations For more details of the stability concerned with the stochastic differential equations, we refer to8,9 and the references therein...

Ngày tải lên: 21/06/2014, 23:20

... pagesdoi:10.1155/2007/98423 Research Article Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments R S Dahiya and A Zafer Received 19 October 2006; Accepted ... numbers with λ > 0 and μ > 0. Trang 3We may begin with the following comparison theorem.Theorem 2.1 Let δ = 1, α ≥ 0, β < 0, and 1 + α + β > 0 Suppose that (a) equation ( E k μ ) with ... > c ≥0 (H2)q1: [t0,∞)×[a, b]→ Rand q2: [t0,∞)×[c, d]→ R are nondecreasing ins for each fixed t, and τ periodic and continuous with respect to t for each fixed s, respectively (H3) For someT0≥...

Ngày tải lên: 22/06/2014, 18:20

... pagesdoi: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 Yang Received ... 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 impul-sive nonlinear differential equations with periodic boundary ... of impulsive differential equations to different areas, for example, see [6–15] Boundary value problems (BVPs) for impulsive differential equations and im-pulsive difference equations [16–20] have...

Ngày tải lên: 22/06/2014, 19:20

... pagesdoi:10.1155/2007/49125 Research Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay Hassane Bouzahir Received 6 November 2006; Revised 16 January 2007; ... class of concrete spaces that verify many properties such asC γ withγ > 0 In [1,6–8], we have considered (1.1) with A T being nondensely defined and satisfying the Hille-Yosida condition Precisely, ... show the relation between a nonlinear semigroup and integral solutions to (1.1) Trang 4Notice that the most general results about functional differential equations with in-finite delay are obtained...

Ngày tải lên: 22/06/2014, 22:20

... 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 the systems considered has the form ... (3.14) This formula coincides with corresponding formula given inSection 2.1 3.2 Representation of the solution of nonhomogeneous initial problem We consider the nonhomogeneous problem (1.1), (1.2) ... discrete delayed equations and give an Trang 3analogue of formula (1.6) for homogeneous and nonhomogeneous problems (1.1), (1.2) with pure delay 2 Discrete matrix delayed exponential Now we give the...

Ngày tải lên: 22/06/2014, 22:20

... one-sided Lipschitz condition with respect to the last two variables with corresponding functions instead of constants Note that the special case whenf is monotone nonincreasing (with respect to the last ... 2006; Revised 22 May 2006; Accepted 28 May 2006 This paper deals with boundary value problems for second-order differential equations with deviating arguments Some sufficient conditions are formulated ... Chapter 2] The mono-tone iterative method is useful to obtain approximate solutions of nonlinear differential equations, for details see, for example, [10], see also [1–8,11,12] It has been applied...

Ngày tải lên: 22/06/2014, 22:20

... dense inC([0, 1],R) with the sup-norm See [5] for more examples and remarks concerning nondensely defined operators Recently, evolution functional differential equations with nondensely defined ... Trang 1FUNCTIONAL DIFFERENTIAL EQUATIONS WITHNONDENSELY DEFINED OPERATORS M BELMEKKI, M BENCHOHRA, AND S K NTOUYAS Received 24 ... as indicated in [5], we sometimes need to deal with nondensely defined op-erators For example, when we look at a one-dimensional heat equation with Dirichlet conditions on [0, 1] and considerA...

Ngày tải lên: 22/06/2014, 22:20

... ordinary differential equations with nonlinear boundary conditions, Appl Math Comput 153 (2004), no 3, 793– 802 T Jankowski, Monotone iterative technique for differential equations with nonlinear boundary ... proof Remark 3.2 If f is nondecreasing with respect to the last two variables, then assumption (H3 ) holds with K(t) = L(t) = on J Remark 3.3 Note that if g is nonincreasing with respect to the first ... boundary value problems for differential equations with delayed arguments, J Comput Appl Math 156 (2003), no 1, 239–252 , Advanced differential equations with nonlinear boundary conditions, J Math...

Ngày tải lên: 23/06/2014, 00:20

... focus on the cubic nonlinear Schr¨odinger equations (NLS) withvariable coefficients First, we consider the Cauchy problem for the vector-valuedNLS with space- and time-dependent coefficients on ... consider the Cauchy problem of the following non-autonomous nonlinear Schr¨odinger equation (NNLS henceforth): k(t, x) ≡ constant, (1.11) is just the ordinary (homogeneous) cubic NLS, which has been ... generalized Hasimoto transform ([11]),the flow (1.9) yields the focusing nonlinear Schr¨odinger equation with variablecoefficients where κ is the Gaussian curvature of N and r(t, x)v is the residual...

Ngày tải lên: 17/09/2015, 17:18

... above require sufficient regularity condition on the coefficients b, σ and the test function f The stochastic differential equations with non-smooth drift appear in many applications, es-pecially ... stochastic differential equations with discontinuous drift The aim of the present paper is to investigate the weak order of the Euler-Maruyama approx-imation for stochastic differential equations ... Trang 1Approximation for non-smooth functionals of stochasticdifferential equations with irregular drift Hoang-Long Ngo∗ and Dai Taguchi† Abstract We...

Ngày tải lên: 14/10/2015, 07:53

... differential equations with piecewise constant delays,” Journal of Mathematical Analysis and Applications, vol 99, no 1, pp 265–297, 1984 S M Shah and J Wiener, “Advanced differential equations with piecewise ... equations with piecewise constant arguments,” Acta Mathematica Sinica, vol 18, no 2, pp 263–276, 2002 H.-X Li, “Almost periodic solutions of second-order neutral delay-differential equations with ... class of differential equations with piecewise constant delays,” Journal of Mathematical Analysis and Applications, vol 322, no 2, pp 540–555, 2006 14 Advances in Difference Equations 12 R Yuan,...

Ngày tải lên: 21/06/2014, 20:20

... delay differential equations without uniqueness (in both the autonomous and non- autonomous framework), differential inclusions, integro -differential equations in a non- autonomous context with or without ... situations: autonomous functional equations without uniqueness, and nonautonomous functional and/or integro -differential equations with and without uniqueness with finite delay The content of the ... T Caraballo et al / J Differential Equations 208 (2005) 9–41 12 As a straightforward consequence of this result, we have an analogous result to the non- delay case with non- explosion a priori...

Ngày tải lên: 29/10/2015, 14:20