non homogeneous linear differential equations with constant coefficients

Ngày tải lên: 22/03/2014, 11:20

... While constant functions are automorphic with respect to any Φ, there are examples of nonconstant automorphic functions One such is p(x) = sin(π(x − n)) on A remark on linear functional equations ... (x) + a0 f ◦ Φ0 (x) = (2.1) in S is called a linear homogeneous functional equation of kth order with constant coefficients The coefficients are the constants a j , j = 0,1,2, ,k It is assumed that ... 2 A remark on linear functional equations It is easy to show that H ∈ S The set S with the operation of multiplication ◦ forms a noncommutative group Ᏻ, where the canonical function X is...

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 coefficients and constant delay One of the systems considered has the form ... paper With the aid of discrete matrix delayed exponential we give formulas for the solution of the homogeneous and nonhomogeneous problems (1.1), (1.2) 3.1 Representation of the solution of homogeneous ... =−2 This formula coincides with corresponding formula given in Section 2.1 3.2 Representation of the solution of nonhomogeneous initial problem We consider the nonhomogeneous problem (1.1), (1.2)...

Ngày tải lên: 22/06/2014, 22:20

... Vall´e–Poussin for nonlinear e ordinary differential equations, Georgian Mathematical Journal (1994), no 4, 429–458 [18] P J Y Wong and R P Agarwal, Singular differential equations with (n, p) boundary ... Fredholm property since the constant r does not depend on q 28 Linear BVPs with strong singularities Proof of Corollary 1.4 By conditions (1.23), there exist positive constants m), satisfying inequalities ... for systems of higherorder ordinary differential equations with singularities, Georgian Mathematical Journal (1994), no 1, 31–45 32 Linear BVPs with strong singularities [13] V E Ma˘orov, On the...

Ngày tải lên: 23/06/2014, 00:20

... note on partial functional differential equations with state-dependent delay, Nonlinear Anal Real World Appl (4) (2006) 510–519 [25] A.V Rezounenko, Differential equations with discrete state-dependent ... Functional differential equations with state-dependent delays: theory and applications, in: A Canada, P Drabek, A Fonda (Eds.), Handbook of Differential Equations: Ordinary Differential Equations, ... space of continuous functions, Nonlinear Anal Ser A: Theory, Methods Appl 70 (11) (2009) 3978–3986 [26] A.V Rezounenko, Non- linear partial differential equations with discrete state-dependent...

Ngày tải lên: 29/10/2015, 14:19

... Maple Linear first-order differential equations Applications of linear first-order differential equations Mixing problems Exponential growth and decay Newton’s law of Cooling Nonlinear first-order differential ... of solutions for × nonlinear systems 6.2.1 Plotting direction fields of nonlinear systems using Maple 6.3 6.4 Linear approximations of nonlinear systems Euler’s method for nonlinear systems 6.5 ... Differential Equations with Linear Algebra This page intentionally left blank Differential Equations with Linear Algebra Matthew R Boelkins, J L Goldberg,...

Ngày tải lên: 11/06/2014, 07:16

... 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 ... “On the spectrum of almost periodic solution of second-order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 59, no 8, pp 1189–1205,...

Ngày tải lên: 21/06/2014, 20:20

... the first-order linear recurrence in a Banach space Using some ideas from [7] in this paper, one obtains a result concerning the stability of the n-order linear recurrence with constant coefficients ... n bk an−k−1 ≤ ε ≤ |a|k k=0 ε − |a| , (2.13) n ≥ The stability result for the p-order linear recurrence with constant coefficients is contained in the next theorem Theorem 2.3 Let X be a Banach space ... 107 R Ger, A survey of recent results on stability of functional equations, Proc of the 4th International Conference on Functional Equations and Inequalities (Cracow), Pedagogical University of...

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 11/03/2015, 07:57

... ordinary stochastic differential equations with H¨older continuous diffusion coefficients and for stochastic delay differential equation with super -linear growth coefficients, respectively It is ... time approximation of stochastic differential equations with time delay, Math Comput Simulation 54 (2000) 189-205 [11] Y.Kuang, Delay differential equations: with applications in population dynamics, ... SDEs with H¨older continuous diffusion coefficients, Stochastic Processes Appl (2011) 2189-2200 [7] I Gy¨ ongy, S Sabanis, A note on Euler approximations for stochastic differential equations with...

Ngày tải lên: 14/10/2015, 07:55

... 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

... 0} with intensity λ > is a piecewise constant process with stationary independent increments with initial value N0 = such that Nt − Ns is Poisson distributed with intensity λt−s , that is, with ... research monograph may be of assistance 1 Stochastic Differential Equations with Jumps Stochastic differential equations (SDEs) with jumps provide the most flexible, numerically accessible, mathematical ... o 1.6 Stochastic Differential Equations 1.7 Linear SDEs 1.8 SDEs with Jumps ...

Ngày tải lên: 19/02/2014, 22:20

Ngày tải lên: 14/03/2014, 13:20

Ngày tải lên: 31/03/2014, 15:56

... induces a k -linear derivation on R commuting with The latter extends uniquely to a k -linear derivation of L commuting with One can also start with a k -linear derivation of L commuting with and ... on {α1 , , αn } Exercises 1.14 Homogeneous versus inhomogeneous equations Let k be a differential field and L(y) = b, with b = 0, an nth order inhomogeneous linear differential equation over k ... matrix differential equation Lemma 1.8 translates for homogeneous scalar equations 1.2 LINEAR DIFFERENTIAL EQUATIONS Lemma 1.10 Consider an nth order homogeneous scalar equation L(y) = over k The solution...

Ngày tải lên: 31/03/2014, 15:56

Ngày tải lên: 12/06/2014, 16:16

Ngày tải lên: 12/06/2014, 16:17

... is nondecreasing with respect to its third variable and Λ is nondecreasing in [α, β], then problem (11) has the extremal solutions in [α, β] Proof Theorem guarantees that problem (11) has a nonempty ... 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, ... First-order differential equations with state-dependent deviated arguments have received a lot of attention in the last years We can cite the recent articles [2–7] which deal with existence results...

Ngày tải lên: 20/06/2014, 20:20

... 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 ... in differential equations with variable delays Nonlinear Anal 63, e233–e242 (2005) doi:10.1016/j.na.2005.02.081 11 Sakthivel, R, Luo, J: Asymptotic stability of nonlinear impulsive stochastic differential ... neutral differential equations with variable delays Proc Am Math Soc 136, 909–918 (2008) 19 Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable...

Ngày tải lên: 20/06/2014, 22:20

... solution for fractional differential equations with uncertainty Nonlinear Anal 72, 2859–2862 (2010) doi:10.1016/j.na.2009.11.029 Ahmad, B, Nieto, JJ: Existence results for nonlinear boundary value ... pseudo-almost periodic solutions of a class of semilinear fractional differential equations Nonlinear Anal Real World Appl 11, 3532–3554 (2010) doi:10.1016/j.nonrwa.2010.01.002 Agarwal, RP, Lakshmikantham, ... fractional differential equations via Leray-Schauder degree theory Topol Methods Nonlinear Anal 35, 295–304 (2010) Ahmad, B: Existence of solutions for irregular boundary value problems of nonlinear...

Ngày tải lên: 20/06/2014, 22:20