linear differential equations with constant coefficients examples

... Nguyen Huu Du, Vu Hoang Linh, Stability radii for linear time-invarying differential- equations with respect to dynamic perturbations, J Differential Equations, 230 (2006) 579 [9] N.T Ha, B Rejanadit, ... (1—a)A] < 0}, where we use the convention In0 = —oo 5 Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation a® = Aa (10) is ... 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, 142 (1998) 167

Ngày tải lên: 22/03/2014, 11:20

... 2000 (1999)379 t7l N H Du, Stability radii for differential- algebraic equations, Vietnam J Math.,2'l with respect to dynamic differential- equations linear time-invarying radii for Linh, Stability ... convention lnO : "(It}+tnl1+'\l)(n-m) s{2m*1and 2n{t ( 2n*1 -oo Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation rL:Ar is uniformly ... 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

Ngày tải lên: 14/12/2017, 14:52

... differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 41, no 7-8, pp 871–890, 2000 ... second-order differential equations with ... neutral delay- differential equations with piecewise. .. periodic solution of second order scalar functional differential equations with piecewise constant argument,” Journal ... order scalar functional differential equations with piecewise constant argument”,” Journal of Mathematical... piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications,

Ngày tải lên: 21/06/2014, 20:20

... 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 the ... Seifert, Almost solutions of certaint Differential Equations with piecewise constant delays and almost periodic time dependence, Journal of Differential Equations 164, (2001), 451-458 | J H Shen ... introduced by Massera in 1950 to ordinary differential equations, saying that the linear differential equation of the form b= Alt)e(t) + f(t), Trang 2 [1], to OFDE with advance and delay in [5, 11,

Ngày tải lên: 11/03/2015, 07:57

... read more Diferential Equations with YouTube Examples Contents Cauchy-Euler equations 25 Systems of linear equations 27 Nonlinear diferential equations 32 7.1 Fixed points and linear stability analysis ... First-order diferential equations 1.1 Separable equations 1.2 Linear equations 1.3 Exact equations 10 1.4 Bernoulli equations 11 1.5 First-order homogeneous equations 13 1.6 Riccati equations 14 Second-order ... 1.1 Separable equations 38 1.2 Linear equations 39 1.3 Exact equations 39 1.4 Bernoulli equations 40 1.5 First-order homogeneous equations 41 1.6 Riccati equations 43 2.1 Homogeneous equations 43

Ngày tải lên: 16/12/2017, 07:20

... Walther, HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications Handbook of Differential Equations: Ordinary Differential Equations, vol III Elsevier/North-Holland, ... results on existence of solutions to first-order ordinary differential equations with deviated arguments Delay differential equations are included in our general framework, which even allows deviations ... the least (greatest) solution This seems to be a peculiar feature of equations with deviated arguments, see [1] for an example with a second-order equation Therefore, we are obliged to distinguish

Ngày tải lên: 20/06/2014, 20:20

... together with Sakthivel and Luo [11,12] investigate the asymptotic stability of the nonlinear 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 multiple delays ... Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 RESEARCH Open Access New criteria for stability of neutral differential equations with variable

Ngày tải lên: 20/06/2014, 22:20

... ordinary differential equations with sublinear impulsive effects,” Journal of Mathematical Analysis and Applications, vol 303, no 1, pp 288–303, 2005 L Chen and J Sun, “Nonlinear boundary value ... 16 pages doi:10.1155/2010/325415 Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions Huiwen Chen and Jianli Li Department of Mathematics, ... differential equations, ” Journal of Mathematical Analysis and Applications, vol 318, no 2, pp 726–741, 2006 10 J J Nieto and D O’Regan, “Variational approach to impulsive differential equations, ” Nonlinear

Ngày tải lên: 21/06/2014, 11:20

... doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School ... integral equations and their relation with boundary- value problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23. On the other hand, boundary-value problems with integral ... Differential Equations, vol 14, World Scientific, ı Singapore, 1995 6 J Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,”

Ngày tải lên: 21/06/2014, 16:20

... 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 ... differential equations with maxima Comput Math Appl 60(10), (2010) 2771–2778 11 Mishev, DP, Musa, SM: Distribution of the zeros of the solutions of hyperbolic differential equations with maxima ... the 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

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)... Lp theory for semilinear nonlocal problems with measure ... with nonlocal initial conditions in Banach spaces Nonlinear Diff Equ Appl 14, 361–376 (2007) [23] Zhu, LP, Li, G: On a nonlocal problem for semilinear differential equations with ... with upper semicontinuous nonlinearities in general Banach spaces J Math Anal Appl 341, 660– 675 (2008) [24] Zhu, LP, Li, G: Existence results of semilinear differential equations with

Ngày tải lên: 21/06/2014, 17:20

... deal with the stability for deterministic differential equations, not for stochastic differential equations. Very recently, Luo 6 studied the mean square asymptotic stability for a class of linear ... delays,” Nonlinear Analysis, vol 63, no 5–7, pp e233–e242, 2005 8 V B Kolmanovskii and L E Shaikhet, “Matrix Riccati equations and stability of stochastic linear systems with nonincreasing ... doi: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

Ngày tải lên: 21/06/2014, 23:20

... differential equations with retarded argument,” Mathematica Bohemica, vol 116, no 3, pp 296–308, 1991 (Russian) [3] R Koplatadze, “Specific properties of solutions of differential equations with deviating ... functional-differential equations, ” Memoirs on Differential Equations and Mathematical Physics, vol 3, p 179, 1994 [5] G S Ladde, V Lakshmikantham, and B G Zhang, Oscillation Theory of Differential Equations with ... doi:10.1155/2007/52304 Research Article On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments Alexander Domoshnitsky and Roman Koplatadze Received January

Ngày tải lên: 22/06/2014, 18:20

... functional-differential equations, ” Computers & Mathematics with Applications, vol 38, no 11-12, pp 1–11, 1999 [4] D D Ba˘nov and D P Mishev, Oscillation Theory for Neutral Differential Equations with Delay, ... numbers with λ > and μ > μ R S Dahiya and A Zafer We may begin with the following comparison theorem Theorem 2.1 Let δ = 1, α ≥ 0, β < 0, and + α + β > Suppose that μ (a) equation (Ek ) with μ ... doi: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

Ngày tải lên: 22/06/2014, 18:20

... allow 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 ... 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 Yang Received

Ngày tải lên: 22/06/2014, 19:20

... differential equations with infinite delay,” Nonlinear Analysis Theory, Methods & Applications Series A, vol 48, no 3, pp 323–348, 2002 [2] J K Hale and J Kato, “Phase space for retarded equations with ... describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem We suppose that the linear part is not necessarily densely ... pages doi:10.1155/2007/49125 Research Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay Hassane Bouzahir Received November 2006; Revised 16

Ngày tải lên: 22/06/2014, 22:20

... METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS TAHIA ZERIZER Received 14 December 2005; Revised 5 April 2006; Accepted 26 April 2006 We consider a boundary value problem for a linear ... k ,0≤ k ≤ N − n − m, can be computed without any knowledge of the boundary conditions y N−k = β k ,0≤ k ≤ m − 1. By analogy with the case of differential equations, we can say that there are m ... −|ε|/ε 0 , (2.19) with the chosen norm, we obtain (2.5).  3. Comparison with singular perturbation method In this section, we consider a right end perturbation [12]. We are concerned with the boundary

Ngày tải lên: 22/06/2014, 22:20

... (2005), no 2, 490–503 , On delay differential equations with nonlinear boundary conditions, Boundary Value [3] Problems 2005... differential equations, Nonlinear Analysis 50 (2002), no 7, 885–898 ... equations with deviating arguments. Some sufficient conditions are formulated under which such problems have quasisolutions or a unique solution. A monotone iterative method is used. Examples with ... Lipschitz condition with respect to the last two variables with corresponding functions instead of constants. Note that the special case when f is monotone nonincreasing (with respect to the

Ngày tải lên: 22/06/2014, 22:20

... C([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 linear operators ... EXISTENCE RESULTS FOR SEMILINEAR PERTURBED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSELY DEFINED OPERATORS M. BELMEKKI, M. BENCHOHRA, AND S. K. ... References [1] M Adimy and K Ezzinbi, A class of linear partial neutral functional- differential equations with nondense domain, Journal of Differential Equations 147 (1998), no 2, 285–332 [2] W

Ngày tải lên: 22/06/2014, 22:20

... 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 ... 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 Anal ... Franco and J J Nieto, First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions, Nonlinear Anal Ser A: Theory Methods 42 (2000), no 2, 163–173 D Franco,

Ngày tải lên: 23/06/2014, 00:20