linear differential equations with constant coefficients general method

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... development of 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 ... 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 ... 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 system (1.2.6). ⎡ ⎣ 1...

Ngày tải lên: 11/06/2014, 07:16

... 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 ... point method in neutral nonlinear differential equations with delay. By the same method, Equation 1 and its generalization have been investigated by many authors. For Zhao Advances in Difference Equations ... 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...

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... 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 , ... approximation of SDEs with jumps represents the focus of the monograph. The reader learns about powerful numerical methods for the solution of SDEs with jumps. These need to be implemented with care. It ... quantitative analysts and others with a more technical back- ground in mathematical and quantitative methods who are interested in applying stochastic differential equations with jumps, and in implement- ing...

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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

... The bilinear form a is bounded if and only if the linear operator A is bounded. 2. The bilinearform a is positive ifand only if the linear operator A is monotone. 3. The bilinearform ... study of partial differential equations and finite element methods. 1.2.2 Bilinear forms, energy norm, and energetic inner product In this paragraph we learn more about bilinear forms for ... ifand only ifthe linear operator A is strictly monotone. 4. The bilinear form a is V-elliptic if and onlv if the linear operator A is strongly monotone. 5. The bilinear form a...

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... existence of solutions to first-order ordinary differential equations with deviated arguments. Delay differential equations are included in our general framework, which even allows deviations to de- pend ... 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...

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... 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 ... fractional differential equations via Leray-Schauder degree theory. Topol Methods Nonlinear Anal. 35, 295–304 (2010) 8. Ahmad, B: Existence of solutions for irregular boundary value problems of nonlinear ... 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...

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...

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