nonhomogeneous linear systems of differential equations with constant coefficients

... 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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... 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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... 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 ∈ ... 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 , ... 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...

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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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... 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 ... asymptotic stability of the non- linear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with infinite delays by means of the fixed point ... 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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... 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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... introduction of the basic theory of impulsive differential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations, ... olution yt,t∈ J with property 3.17. Proof. The proof is similar to that of Theorem 3. 2of 6. Theorem 3.5. Assume that H 1 , H 2 , 3.1 of H 3  and 3.14 and 3.15 of H 4  hold. In addition, ... Differential Equations, vol. 14, World Scientific, Singapore, 1995. 6 J. Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,” Journal of Mathematical...

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... solving of differential equations with maxima. Comput. Math. Appl. 60(10), (2010) 2771–2778. 11. Mishev, DP, Musa, SM: Distribution of the zeros of the solutions of hyperbolic differential equations with ... appear in the study of systems with au- tomatic regulation and automatic control of various technical systems. It often occurs that the law of regulation depends on maximum values of some regulated ... be made available soon. Extremal solutions for certain type of fractional differential equations with maxima Advances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7 Rabha W...

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