... Estimation of Solutions of LinearDifferentialSystemsof Neutral Type with Constant CoefficientsJ. Baˇstinec,1J. Dibl´ık,1, 2D. Ya. Khusainov,3and A. Ryvolov´a11Department of Mathematics, ... vxxTHx has been used to investigate the stability ofsystems 1.1 in 5see6 as well. The stability oflinear neutral systemsof type 1.1,butwithdifferent delays h1and h2,isstudiedin1 ... 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...
... The proof of uniqueness is complete.To prove the existence we note, first of all, that it suffices to provide aproof if one of the κi’s is equal to ±1 and one of the δj’s is equal to ∓1 with all ... solution of the difference Schlesinger equations (3.1)–(3.3) with the initial conditions {Bi(0) = Bi}, and let Bi(x1, ,xn)bethesolution of the classical Schlesinger equations (5.4) with ... solutions of isomonodromy problems for such systemsof 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...
... collection of events, sigma-algebraAfiltrationE(X) expectation of XE(X |A) conditional expectation of X under AP (A) probability of AP (A |B) probability of A conditioned on B∈ element of ∈ ... N = {Nt,t≥ 0} with intensity λ>0is a piecewise constant process with stationary independent increments with initial value N0=0such that Nt− Nsis Poisson distributed with intensityλt−s, ... context of derivative pricing.The book does not claim to be a complete account of the state of theart of the subject. Rather it attempts to provide a systematic framework foran understanding of...
... encounter a handful of examples on linear differentialequations that foreshadow part of the role oflinear algebra in thefield ofdifferential equations. The goal of the chapter on linear algebra ... the development of general solutions to systemsoflinear differential equations or higher order lineardifferential equations. Over the past decade or two, first-order differentialequations have ... solutionsto lineardifferentialequations and systemsofequations exemplifyimportant ideas in linear algebra, and how linear algebra often answerskey questions regarding differential equations. ã...
... neutral nonlinear differentialequationswith delay.Nonlinear Anal. 74(12):3926–3933 (2011). doi:10.1016/j.na.2011.02.02917. Raffoul, YN: Stability in neutral nonlinear differentialequationswith ... asymptotic stability of the non- linear impulsive stochastic differentialequations and the impulsive stochastic partial differential equationswith infinite delays by means of the fixed point ... neutral differential equation, variable delays1 IntroductionThe objective of this article is to investigate the stability of the zero solution of thefirst-order linear neutral differential equations...
... On some nonlinear ordinary differentialequationswith advancedarguments. Nonlinear Anal 2003, 53:495-505.40. Yan JR: Oscillation of first-order impulsive differentialequationswith advanced ... non -linear differentialequations of fractional order. Nonlinear Anal 2011, 74:792-804.34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differentialequationswith impulses and ... integro -differential equations with deviating arguments. J Comput Appl Math 2009, 225:602-611.45. Wang G: Boundary value problems for systemsof nonlinear integro -differential equationswith deviatingarguments....
... Difference Equations Volume 2010, Article ID 691721, 10 pagesdoi:10.1155/2010/691721Research ArticleExistence of Solutions for Nonlinear FractionalIntegro -Differential Equationswith Three-PointNonlocal ... “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. ... ConclusionsThis paper studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundaryconditions...
... introduction of the basic theory of impulsivedifferential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations, ... olutionyt,t∈ J with property 3.17.Proof. The proof is similar to that of Theorem 3. 2of 6.Theorem 3.5. Assume that H1, H2, 3.1 of H3 and 3.14 and 3.15 of H4 hold. Inaddition, ... 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...
... 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 ofsystemswith au-tomatic regulation and automatic control of various technical systems. It often occurs thatthe law of regulation depends on maximum values of some regulated ... be made available soon.Extremal solutions for certain type of fractional differentialequations with maximaAdvances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7Rabha W...