solution of linear differential equations with variable coefficients

... Trang 1 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales Le Hong Lan!*, Nguyen Chi Liem? | Department of Basic Sciences, University of Transport and Communication, ... uniqueness and extendibility of solution of initial value problem (7) we can refer to [15] On exponential stability of dynamic equations on time scales, we often use one of two following definitions ... Robustness of stability of time-varying linear systems, J Differential Equations, 82 (1989) 219 [5] B Jacob, A formula for the stability radius of time-varying systems, J Differential Equations, 142 (1998)

Ngày tải lên: 22/03/2014, 11:20

... neutral differential equation, variable delays Introduction The objective of this article is to investigate the stability of the zero solution of the first-order linear neutral differential equations ... asymptotic stability of the nonlinear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with infinite delays by means of the fixed point theory ... Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 RESEARCH Open Access New criteria for stability of neutral differential equations with variable

Ngày tải lên: 20/06/2014, 22:20

... Joumal of Science, Mathematics - Physics 26 (2010) 163-173 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales , TDepartment Le Hong Lanl'*, Nguyen Chi LierrP of ... Fortheexistence,uniquenessandextendibilityofsolutionofinitialvalueproblem(7)wecan refer to [15] on exponential stability of dynamic equations on time scales, we often use one of two where / (7) : 1f following ... the stability radius of time-invarying linear dynamic equations with linear disturbance on time scales by giving the domain of exponential stability and showing the existence of a "bad" perturbation.whose

Ngày tải lên: 14/12/2017, 14:52

... Distribution of the zeros of the solutions of hyperbolic differential equations with maxima Rocky Mt J Math 37(4) (2007) 1271–1281 12 Otrocol, D, Rus, IA: Functional differential equations with maxima of ... that uȷ is a solution of (1) if it is both a lower and an upper solution A solution u∗ in A ⊂ S is a maximal solution in the set A if u∗ ≥ u for any other solution u ∈ A The minimal solution in ... the existence of extremal solutions for fractional differential equations with maxima Introduction Fractional calculus has become an exciting new mathematical method of solution of diverse problems

Ngày tải lên: 21/06/2014, 17:20

... Stochastic Differential Equations with Variable Delays Meng Wu, 1 Nan-jing Huang, 1 and Chang-Wen Zhao 2 1 Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China 2 College of Business ... differential equations with variable delays,” Nonlinear Analysis, vol 63, no 5–7, pp e233–e242, 2005 8 V B Kolmanovskii and L E Shaikhet, “Matrix Riccati equations and stability of stochastic ... investigate stability properties of a wide variety of differential equations. However, there are many difficulties encountered in the study of stability by means of Liapunov’s direct method. Recently,

Ngày tải lên: 21/06/2014, 23:20

... this solution, in accordance with the theory of linear equations, as the sum of the solution of adjoint homogeneous problem (3.1), (3.2) (satisfying the same initial data) and a particular solution ... Description of the problem considered. The motivation of our investigation goes back to [10] dealing with the linear system of differential equations with constant coeffi- cients and constant delay. One of ... develop a method for construction of solutions of linear discrete systems with constant coefficients and w ith pure delay. Solutions are expressed with the aid of a special function called the discrete

Ngày tải lên: 22/06/2014, 22:20

... 8 Linear BVPs with strong singularities and this solution satisfies the boundary conditions (1.2) (the boundary conditions (1.3)) if and only if c 1 , ,c n−m−1 are solutions of the system of linear ... problems for systems of higherorder ordinary differential equations with singularities, Georgian Mathematical Journal 1 (1994), no 1, 31–45 32 Linear BVPs with strong singularities ... existence of solutions of higher-order singular differential equations, ı Rossi˘skaya Akademiya Nauk Matematicheskie... On a singular two-point boundary value problem for the nonlinear

Ngày tải lên: 23/06/2014, 00:20

... The Numerical Solution of Delay -differential Equations by David Richard Wille Department of Mathematics University of Manchester volume I of II A thesis submitted to the University of Manchester ... consider the development of numerical software for the solution of such problems. Our discussion opens with a brief introduction to the theory of delay -differential equations. Attention is paid ... the propagation of derivative discontinuities through systems of equations is presented. Following a short resumd of standard techniques for the solution of ordinary differential equations (ODE's),

Ngày tải lên: 11/10/2014, 04:02

... The Numerical Solution of Delay -differential Equations by David Richard Wile Department of Mathematics University of Manchester volume II of II A thesis submitted to the University of Manchester ... appendix we give a formal proof of the result (1.1.3:14). For any given time let the order of continuity of the component y i be Z i . Our task is thus to obtain a set of lower bounds {c i : > ... closure of E. Heuristically, by an extension of the above arguments, we may think of Ei as defining the set of points whose continuity bounds can affect the continuity bound, c i , of y i .

Ngày tải lên: 11/10/2014, 04:03

... Euler-Maruyama approximation of stochastic differential equations with irregular coefficients. .. Slominski, L (1997) On stability and existence of solutions of SDEs with reflection at ... Numerical Solution of Stochastic Differential Equations. Springer. [15] Kohatsu-Higa, A., Lejay, A. and Yasuda, K. (2012) On Weak Approximation of Stochastic Differential Equations with Discontinuous ... Numerical Solution of Stochastic Differential Equations Springer [15] Kohatsu-Higa, A., Lejay, A and Yasuda, K (2012) On Weak Approximation of Stochastic Differential Equations with

Ngày tải lên: 14/10/2015, 07:53

... 1MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONLE THI HONG DUNGSTABILITY OF POSITIVE SOLUTIONS OFNONLINEAR DIFFERENTIAL EQUATIONSWITH DELAYS IN NEURAL NETWORKSDISSERTATION OFDOCTOR ... dissertation is concerned with the positivity of solutions and exponentialstability of positive equilibrium of nonlinear differential equations with delays in varioustypes of neural networks Main ... Typically, dynamics of a networkis represented by a system of nonlinear differential equations with or without delay.In the past two decades, the study involving qualitative behavior of nonlinear systemsdescribing

Ngày tải lên: 31/07/2024, 16:30

... 1MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONLE THI HONG DUNGSTABILITY OF POSITIVE SOLUTIONSOF NONLINEAR DIFFERENTIAL EQUATIONSWITH DELAYS IN NEURAL NETWORKSSpeciality: Differential ... and stability of nonlinear differential equations withdelays.B Research aimsThe thesis focuses on problems of stability of several classes of nonlinear positive ential systems with delay in neural ... dissertation is concerned with the positivity of solutions and exponential stability ofpositive equilibrium of nonlinear differential equations with delays in various types of neuralnetworks Main

Ngày tải lên: 31/07/2024, 17:01

... number of basic frequencies of ˙x  ψx, t,x∈ R, is the same as that of basic frequencies of its unique solution. 2 Advances in Difference Equations The spectrum containment of almost periodic solution ... Advances in Difference Equations 12 R Yuan, On the spectrum of almost periodic solution of second-order differential equations with. .. difference equations with piecewise ... periodic weak solutions of neutral delay- differential equations with piecewise. .. periodic solution of second order scalar functional differential equations with piecewise

Ngày tải lên: 21/06/2014, 20:20

... equations with unbounded delay, Indian J Pure Appl Math 27 Ž1996., 357᎐386 11 H R Henriquez, Regularity of solutions of abstract retarded functional differential equations with ... nonlinear case we give several criteria to ensure the existence of a periodic solution In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of ... bounded solution ᮊ 2001 Academic Press INTRODUCTION The purpose of this work is to discuss the existence of a periodic solution of the following partial functional differential equation with infinite

Ngày tải lên: 29/10/2015, 14:19

... Trang 1 Periodic solutions of some linear evolution systems of natural differential equations on 2-dimensional tore Dang Khanh Hoi* Department of General Education, Hoa Binh University, ... considered the linear differential equations on manifolds in which includes the external differential operators At research of such equations appear so named the small denominators, so such equations ... and close Let € = OF gf? = OP gAM(T*X) @C is the complexified cotangent bundle of manifolds X, C°(€) is the space of smooth differential forms and H*(€) is the Sobolev space of differential forms

Ngày tải lên: 14/03/2014, 13:20

... Difference Equations 2011, 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 RESEARCH Open Access Positive solutions of the three-point boundary value problem for fractional-order differential ... 041004, P R China Full list of author information is available at the end of the article Abstract In this article, we consider the existence of at least one positive solution to the three-point ... for fractional-order differential equations with an advanced argument Guotao Wang1*, SK Ntouyas2 and Lihong Zhang1 * Correspondence: wgt2512@163 com School of Mathematics and Computer Science,

Ngày tải lên: 21/06/2014, 03:20

... Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients ˇ ´ J Bastinec,1 J Dibl´k,1, D Ya Khusainov,3 and A Ryvolova1 ı Department of Mathematics, Faculty of ... that the zero solution of 1.1 is exponentially stable in the metric C1 Estimates of Solutions in a General Case Now we will estimate the norms of solutions of 1.1 and the norms of their derivatives ... derivative ˙ of the initial function on the initial interval −τ, Now we give a statement on the stability of the zero solution of system 1.1 and estimates of the convergence of the solution, which

Ngày tải lên: 21/06/2014, 11:20

... 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 ... has a unique solution on 0, 1. 4. Conclusions This paper studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point ... several researchers with the sphere of study ranging from the theoretical aspects of existence and uniqueness of solutions to the analytic and numerical methods for finding solutions. For some

Ngày tải lên: 21/06/2014, 16:20

... 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, ... Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School of Applied Science, Beijing ... paper, we consider the existence of positive solutions for a class of boundary value problems with integral boundary conditions of fourth-order impulsive differential equations:  φ p  y   t 

Ngày tải lên: 21/06/2014, 16:20

... eventually positive solution of degree whenever n is even Then every solution x(t) of (1.1) is oscillatory Proof Suppose that there exists an eventually positive solution x(t) of (1.1) Letting y(t) ... eventually positive solution of degree whenever n is odd; μ (c) equation (Ek ) with μ = and k = has no eventually positive solution of degree whenever n is even Then every solution x(t) of (1.1) is oscillatory ... ) with μ = −α and k = τ has no eventually positive solution of degree n; λ (b) equation (Eh ) with λ = + β and h = −τ has no eventually positive solution of degree whenever n is odd; Journal of

Ngày tải lên: 22/06/2014, 18:20