non homogeneous 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 ... + 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 ... 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 the neutral...

Ngày tải lên: 22/06/2014, 22:20

... 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

Ngày tải lên: 11/03/2015, 07:57

... 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 ... functional differential equations with distributed memory term, Monte Carlo Methods Appl 3-4 (2004) 235-244 [3] E Buckwar, One-step approximations for stochastic functional differential equations, ...

Ngày tải lên: 14/10/2015, 07:55

... 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, ... 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 ... the zero solution for differential equations with state-dependence, J Differ Equ (1970) 395–405 [21] A.V Rezounenko, J Wu, A non- local PDE model for population dynamics with state-selective delay:...

Ngày tải lên: 29/10/2015, 14:19

... 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 ... the book more efficiently (i) Let us begin with those readers who aim for a sufficient understanding, to be able to apply stochastic differential equations with jumps and appropriate simulation methods...

Ngày tải lên: 19/02/2014, 22:20

Ngày tải lên: 31/03/2014, 15:56

... first-order differential equations Mixing problems Exponential growth and decay Newton’s law of Cooling Nonlinear first-order differential equations 2.5.1 2.5.2 Separable equations Exact equations ... systems Matrix exponential Higher order differential equations 4.1 Motivating equations 4.2 Homogeneous equations: distinct real roots 4.3 Homogeneous equations: repeated and complex roots 4.3.1 ... 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

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 ... nonlinear fractional differential equations Fixed Point Theory Appl 2010, 17 (2010) (Article ID 364560) 10 Ahmad, B, Nieto, JJ: Riemann-Liouville fractional differential equations with fractional ... fractional integrodifferential equations with integral boundary conditions Bound Value Probl 2009, 11 (2009) (Article ID 708576) Ahmad, B, Nieto, JJ: Existence results for a coupled system of nonlinear...

Ngày tải lên: 20/06/2014, 22:20

... problem for non- linear differential equations of fractional order Nonlinear Anal 2011, 74:792-804 Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... Walter W: On some nonlinear ordinary differential equations with advanced arguments Nonlinear Anal 2003, 53:495-505 Yan JR: Oscillation of first-order impulsive differential equations with advanced ... Fractional differential equations as alternative models to nonlinear differential equations Appl Math Comput 2007, 187:79-88 Balachandran K, Trujillo JJ: The nonlocal Cauchy problem for nonlinear...

Ngày tải lên: 21/06/2014, 03:20

... distinct pairs of nontrivial critical points Then, problem 3.19 has at least n distinct pairs of nontrivial classical solutions, that is, problem 1.1 has at least n distinct pairs of nontrivial classical ... distinct pairs of nontrivial critical points Then, problem 3.35 has at least n distinct pairs of nontrivial classical solutions, that is, problem 1.1 has at least n distinct pairs of nontrivial classical ... for 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...

Ngày tải lên: 21/06/2014, 11:20

... problems with nonlocal boundary conditions,” Nonlinear Analysis: Theory, Methods & Applications, vol 71, no 5-6, pp 1542–1551, 2009 J R Graef and B Yang, “Positive solutions of a third order nonlocal ... integral equations arisen from nonlocal boundary-value problems,” Electronic Journal of Differential Equations, no 30, pp 1–17, 2002 Boundary Value Problems 23 A Lomtatidze and L Malaguti, “On a nonlocal ... thermoelasticity, and plasma physics can be reduced to nonlocal problems with integral boundary conditions They include two point, three point, and nonlocal boundary value problems see 2–5 as special...

Ngày tải lên: 21/06/2014, 11:20

... studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, with three-point nonlocal fractional boundary conditions involving the ... Article ID 494720, pages, 2009 14 B Ahmad and J R Graef, “Coupled systems of nonlinear fractional differential equations with nonlocal boundary conditions,” PanAmerican Mathematical Journal, vol 19, ... “Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions,” Computers & Mathematics with Applicationsl, vol 58, no 9, pp 1838–1843,...

Ngày tải lên: 21/06/2014, 16:20

... Fredholm integral equations arisen from nonlocal boundary-value problems,” Electronic Journal of Differential Equations, vol 2002, no 30, pp 1–17, 2002 21 A Lomtatidze and L Malaguti, “On a nonlocal boundary ... of a nonlinear nth order boundary value problem with nonlocal conditions,” Applied Mathematics Letters, vol 18, no 5, pp 521–527, 2005 49 X Hao, L Liu, and Y Wu, “Positive solutions for nonlinear ... Impulsive Differential Equations, vol 14, World Scientific, ı Singapore, 1995 J Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,”...

Ngày tải lên: 21/06/2014, 16:20