higher order linear differential equations with variable coefficients

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... 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

... concentrated on lower -order neutral functional differential equations, while studies on higher- order neutral functional differential equations are rather infrequent, especially on higher- order p-Laplacian ... Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher- Order Neutral Differential Equations Jingli Ren, 1 Wing-Sum Cheung, 2 and Zhibo Cheng 1 1 Department of Mathematics, ... second -order neutral functional differential equations, ” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 677–689, 2007. 10 M. R. Zhang, “Periodic solutions of linear...

Ngày tải lên: 21/06/2014, 16:20

... 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 order ... 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 ... interesting discussions associated with problem 1.6. Discussion 1. Generally, it is difficult to obtain the upper and lower bounds of positive solutions for nonlinear higher- order boundary value problems...

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... 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 ... of the structural role that vector spaces play in solving linear systems of differential equations and higher order linear differential equations. Instructors may choose to move on from chapter...

Ngày tải lên: 11/06/2014, 07:16

... 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 ... HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications. Hand- b ook of Differential Equations: Ordinary Differential Equations, vol. III. Elsevier/North-Holland,...

Ngày tải lên: 20/06/2014, 20:20

... 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 ... 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 ... 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...

Ngày tải lên: 21/06/2014, 03:20

... 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, ... 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...

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... Y Δ achieves an order γ of strong convergence, then it also achieves at least an order β = γ of weak convergence. We emphasize that the weak order obtained above is usually not sharp and, thus, the order ... N = {N t ,t≥ 0} with intensity λ>0 is a piecewise constant process with stationary independent increments with initial value N 0 =0such that N t − N s is Poisson distributed with intensity λ t−s , ... random variable X τ is A τ -measurable. (iii) If P (τ ≤ τ  )=1,thenA τ ⊆A τ  . (iv) The random variables τ ∧τ  , τ ∨ τ  and (τ + τ  ) are stopping times. (v) If for a real valued random variable...

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