second order linear homogeneous differential equations with variable coefficients

... Difference Equations Volume 2009, Article ID 143175, 14 pages doi:10.1155/2009/143175 Research Article On the Spectrum of Almost Periodic Solution of Second- Order Neutral Delay Differential Equations with ... 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, ... difference equations with piecewise constant arguments,” Acta Mathematica Sinica, vol. 18, no. 2, pp. 263–276, 2002. 6 H X. Li, “Almost periodic solutions of second- order neutral delay-differential equations...

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 23/06/2014, 00:20

... 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 ... 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 ... stochastic differential equations with multi- ple delays. Pinto and Seplveda [16] talk about H-asymptotic stability by the fixed point method in neutral nonlinear differential equations with delay....

Ngày tải lên: 20/06/2014, 22:20

... Difference Equations 8 J. Shao and F. Meng, “Oscillation theorems for second- order forced neutral nonlinear differential equations with delayed argument,” International Journal of Differential Equations, ... for second- order forced dynamic equations with mixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009. 11 C. Li and S. Chen, “Oscillation of second- order ... forced second- order mixed type quasilinear delay differential equations, ” Electronic Journal of Differential Equations, p. No. 73, 9, 2010. 13 Y. G. Sun and F. W. Meng, “Oscillation of second- order...

Ngày tải lên: 21/06/2014, 05:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 23:20

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 23/06/2014, 00:20

... general solutions to systems of linear differential equations or higher order linear differential equations. Over the past decade or two, first -order differential equations have become a standard ... solutions to linear differential equations and systems of equations exemplify important ideas in linear algebra, and how linear algebra often answers key questions regarding differential equations. ã ... Matrix exponential 270 4 Higher order differential equations 273 4.1 Motivating equations 273 4.2 Homogeneous equations: distinct real roots 274 4.3 Homogeneous equations: repeated and complex...

Ngày tải lên: 11/06/2014, 07:16

... (greatest) solution. This seems to be a peculiar feature of equa- tions with deviated arguments, see [1] for an example with a second- order equation. Therefore, we are obliged to distinguish between ... solutions. First -order differential equations with state-dependent deviated argu- ments have received a lot of attention in the last years. We can cite the recent articles [2–7] which deal with existence ... solutions for delay differential equations with state dependent delay. J. Diff. Equ. 144(2), 263– 301 (1998) 3. Dyki, A: Boundary value problems for differential equations with deviated arguments which...

Ngày tải lên: 20/06/2014, 20:20

... oscillation of odd order neutral differential equations. Fasc Math. 29, 167–183 (1999) 21. Zhang, Q, Yan, J: Oscillation behavior of even order neutral differential equations with variable coefficients. ... criteria for second- order superlinear neutral differential equations. Abstr Appl Anal. 2011,1–17 (2011) 13. Li, T, Han, Z, Zhao, P, Sun, S: Oscillation of even -order neutral delay differential equations. ... third -order quasi -linear neutral functional differential equations. Arch Math. 47, 181–199 (2011) 18. Yildiz, MK, Öcalan, Ö: Oscillation results of higher -order nonlinear neutral delay differential...

Ngày tải lên: 20/06/2014, 22:20

... problem for second order differential equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023. 42. Jankowski T: Positive solutions for fourth -order differential equations with deviating ... On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first -order impulsive differential equations with advanced ... for non -linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses...

Ngày tải lên: 21/06/2014, 03:20

... solutions to second order linear difference equations in the first case. For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... we consider a nonlinear first -order difference equation. 2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second- order linear differential equations, ... inhomogeneous second- order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear...

Ngày tải lên: 21/06/2014, 11:20

... problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 9 Z. Yang, “Positive solutions to a system of second- order nonlocal ... pages doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth -Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang 1, 2 and Yujun Cui 3 1 Department ... consider the existence of positive solutions for the following nonlinear fourth -order singular p-Laplacian differential equations with integral boundary conditions:  ϕ p  x   t     f  t,...

Ngày tải lên: 21/06/2014, 11:20

... for second order impulsive differential equations with advanced arguments,” Applied Mathematics and Computation, vol. 197, no. 1, pp. 179–189, 2008. 17 T. Jankowski, “Positive solutions to second ... boundary value problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 22 C. Corduneanu, Integral Equations and Applications, ... pages 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...

Ngày tải lên: 21/06/2014, 16:20

... for second order nonlinear differential equations, ” Annals of Differential Equations, vol. 19, no. 3, pp. 480–486, 2003. 7 R K. Zhuang and H W. Wu, “Sturm comparison theorem of solution for second ... theorem of second- order differential equations see Section 1. Remark 3.6. In the discrete case: μt ≡ 1. This result is the same as Sturm comparison theorem of second- order difference equations ... of second- order linear equations on time scales. We first establish Picone identity on time scales and obtain our main result by using it. Also, our result unifies the existing ones of second- order...

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 18:20

Ngày tải lên: 22/06/2014, 22:20