linear systems of differential equations with variable coefficients

... 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 ... neutral differential equation, variable delays 1 Introduction The objective of this article is to investigate the stability of the zero solution of the first-order linear neutral differential equations...

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... The proof of uniqueness is complete. To prove the existence we note, first of all, that it suffices to provide a proof if one of the κ i ’s is equal to ±1 and one of the δ j ’s is equal to ∓1 with all ... solution of the difference Schlesinger equations (3.1)– (3.3) with the initial conditions {B i (0) = B i }, and let B i (x 1 , ,x n )bethe solution of the classical Schlesinger equations (5.4) with ... solutions of isomonodromy problems for such systems of difference equations. In the case of one-interval gap probability this has been done (in a different language) in [Bor], [BB]. One example of the...

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... Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients J. Ba ˇ stinec, 1 J. Dibl ´ ık, 1, 2 D. Ya. Khusainov, 3 and A. Ryvolov ´ a 1 1 Department of Mathematics, ... vxx T Hx has been used to investigate the stability of systems 1.1 in 5see 6 as well. The stability of linear neutral systems of type 1.1,butwithdifferent delays h 1 and h 2 ,isstudiedin1 ... Theory of Stability of Motion, Fizmatgiz, Moscow, Russia, 1959. 3 N. N. Krasovski ˘ ı, Stability of Motion. Applications of Lyapunov’s Second Method to Differential systems and Equations with...

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... collection of events, sigma-algebra A filtration E(X) expectation of X E(X |A) conditional expectation of X under A P (A) probability of A P (A |B) probability of A conditioned on B ∈ element of ∈ ... context of derivative pricing. The book does not claim to be a complete account of the state of the art of the subject. Rather it attempts to provide a systematic framework for an understanding of ... covering many new results for the approxi- mation of continuous solutions of SDEs. The discrete time approximation of SDEs with jumps represents the focus of the monograph. The reader learns about powerful...

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... encounter a handful of examples on linear differential equations that foreshadow part of the role of linear algebra in the field of differential equations. The goal of the chapter on linear algebra ... the 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...

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... 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 ... 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 and ... integro -differential equations with deviating arguments. J Comput Appl Math 2009, 225:602-611. 45. Wang G: Boundary value problems for systems of nonlinear integro -differential equations with deviating arguments....

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... Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with Three-Point Nonlocal ... “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. ... Conclusions This paper studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions...

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