linear differential equations with variable coefficients

Ngày tải lên: 22/03/2014, 11:20

... 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....

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Ngày tải lên: 23/06/2014, 00:20

... the variables. Let us reconsider Differential Equations with Linear Algebra Systems of linear equations 13 1 2 1 3 2 x 2 x 1 x 3 Figure 1.4 The intersection of the three planes given by the linear ... 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 ... 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...

Ngày tải lên: 11/06/2014, 07:16

... 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 , ... to time t. For a given model with a vector process X we typically set A = A X with A t = A X t . If for a process Z = {Z t ,t≥ 0} and each time t ≥ 0 the random variable Z t is A X t -measurable, ... 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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Ngày tải lên: 31/03/2014, 15:56

... morphism in {{M}}.Thenf extends to a K -linear map 1 K ⊗f : K ⊗ k A → K ⊗ k B,which commutes with ∂. Therefore f induces a C -linear map S(f ):S(A) → S(B) with commutes with the G-actions. We will omit ... of linear differential equations (which we shall refer to simply as differential Galois theory) is the analogue for linear differential equations of the classical Galois theory for polynomial equations. ... order two equations gives an indication how this classification could be used for linear differential equations in characteristic 0. A more or less obvious observation is that these linear differential equations...

Ngày tải lên: 31/03/2014, 15:56

Ngày tải lên: 12/06/2014, 16:16

Ngày tải lên: 12/06/2014, 16:17

... 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, ... problems with state-dep endent deviating arguments Bull. Lond. Math. Soc. 43, 164–174 (2011) 2. Arino, O, Hadeler, KP, Hbid, ML: Existence of periodic solutions for delay differential equations with ... differential equations with deviated arguments. J. Optim. Theory Appl. 135(2), 257–269 (2007) 5. Jankowski, T: Existence of solutions of boundary value problems for dif- ferential equations in...

Ngày tải lên: 20/06/2014, 20:20

... higher-order 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 ... solution for fractional differential equations with uncertainty. Nonlinear Anal. 72, 2859–2862 (2010). doi:10.1016/j.na.2009.11.029 5. Ahmad, B, Nieto, JJ: Existence results for nonlinear boundary value ... integrodifferential equations with integral boundary conditions. Bound Value Probl 2009, 11 (2009). (Article ID 708576) 6. Ahmad, B, Nieto, JJ: Existence results for a coupled system of nonlinear...

Ngày tải lên: 20/06/2014, 22:20

... 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 ... 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

... ordinary differential equations with s ublinear impulsive effects,” Journal of Mathematical Analysis and Applications, vol. 303, no. 1, pp. 288–303, 2005. 9 L. Chen and J. Sun, “Nonlinear boundary ... 2009. 13 H. Zhang and Z. Li, “Variational approach to impulsive differential equations with periodic boundary conditions,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 67–78, 2010. 14 ... problem with impulses,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 155–162, 2010. 15 J. Zhou and Y. Li, “Existence and multiplicity of solutions for some Dirichlet problems with...

Ngày tải lên: 21/06/2014, 11:20

... 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 of ... positive solutions for fourth-order singular p-Laplacian differential equations with integral boundary conditions. Our nonlinearity f may be singular at t  0, t  1, and u  0. The dual results ... 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

... 195916, 14 pages doi:10.1155/2010/195916 Research Article Fixed Points and Stability in Nonlinear Equations with Variable Delays Liming Ding, 1, 2 Xiang Li, 1 and Zhixiang Li 1 1 Department of Mathematics ... medium, provided the original work is properly cited. We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability ... 1, pp. 15–32, 2003. 2 B. Zhang, “Fixed points and stability in differential equations with variable delays,” Nonlinear Analysis: Theory, Methods and Applications, vol. 63, no. 5–7, pp. e233–e242,...

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