power series solutions of linear differential equations

... 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 ... suggested to the study of stability and estimates of solutions of 1.1 Exponential Stability and Estimates of the Convergence of Solutions to Stable Systems First we give two definitions of stability to ... 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 in the case of

Ngày tải lên: 21/06/2014, 11:20

... http://www.springer.com /series/ 304 2047 a Gani T Stamov Almost Periodic Solutions of Impulsive Differential Equations 123 Gani T Stamov Technical University of Sofia Department of Mathematics Sliven ... are often investigated in various fields of science and technology The question of the existence and uniqueness of almost periodic solutions of differential equations is an age-old problem of great ... Stability of Solutions of Differential Equations in Banach Space American Mathematical Society, Providence (1974) 51 Dannan, F., Elaydi, S.: Lipschitz stability of nonlinear systems of differential equations

Ngày tải lên: 29/10/2015, 12:30

... 1MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONLE THI HONG DUNGSTABILITY OF POSITIVE SOLUTIONS OFNONLINEAR DIFFERENTIAL EQUATIONSWITH DELAYS IN NEURAL NETWORKSDISSERTATION OFDOCTOR ... OFDOCTOR OF PHILOSOPHY IN MATHEMATICSHA NOI-2024Trang 2MINISTRY OF EDUCATION AND TRAININGHANOI NATIONAL UNIVERSITY OF EDUCATIONLE THI HONG DUNGSTABILITY OF POSITIVE SOLUTIONS OFNONLINEAR DIFFERENTIAL ... is concerned with the positivity of solutions and exponentialstability of positive equilibrium of nonlinear differential equations with delays in varioustypes of neural networks Main contribution

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 ... positive solutions and stability of nonlinear differential equations withdelays.B Research aimsThe thesis focuses on problems of stability of several classes of nonlinear positive ential systems ... is concerned with the positivity of solutions and exponential stability ofpositive equilibrium of nonlinear differential equations with delays in various types of neuralnetworks Main contribution

Ngày tải lên: 31/07/2024, 17:01

... 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 ... bundle of manifolds X, C°(€) is the space of smooth differential forms and H*(€) is the Sobolev space of differential forms over X (see, [4]) By A we denote operator i(d+0), so-called natural differential

Ngày tải lên: 14/03/2014, 13:20

... Joumal of Science, Mathematics - Physics 26 (2010) 17-27 Periodic solutions of some linear evolution svstems of natural differential equations on 2-dimensional tore Dans Khanh Hoi* Departmenl of ... 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 is ... of complete KEworlrs and phrases: Natural differential operators, small denominators, spectrum of compact oDerators Introduction Beside authors, as from A.A Dezin (see, [1]), considered the linear

Ngày tải lên: 14/12/2017, 14:55

... made available soon. Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6 ... Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming 1,3 , Li Yezhou 2 and Yuan Wenjun ∗3 1 Department of Mathematics and ... order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others. We also estimate the growth order of entire solutions of a

Ngày tải lên: 20/06/2014, 20:20

... Difference Equations 2011, 2011:10 http://www.advancesindifferenceequations.com/content/2011/1/10 RESEARCH Open Access Positive solutions for a coupled system of nonlinear differential equations of mixed ... article Abstract In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders ⎧ ⎪ −Dα+ u(t) = f (t, v(t)), < t < ... School of Science, University of Jinan, Jinan 250022, Shandong, PR China Full list of author information is available at the end of the article Abstract In this article, we study the existence of

Ngày tải lên: 21/06/2014, 03:20

... consider the problem of existence and construction of solutions bounded on the entire real axis of linear systems of ordinary differential equations with impulsive action at fixed points of time ˙x  A ... a complete system of r linearly independent solutions of homogeneous problem 2 and  G  f γ i  t is the generalized Green operator of the problem of finding solutions of the impulsive problem ... . Regularization of Linear Problem The condition of solvability 11 of impulsive problem 1 for solutions bounded on R enables us to analyze the problem of regularization of linear problem that

Ngày tải lên: 21/06/2014, 16:20

... made available soon. Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6 ... Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming 1,3 , Li Yezhou 2 and Yuan Wenjun ∗3 1 Department of Mathematics and ... order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others. We also estimate the growth order of entire solutions of a

Ngày tải lên: 21/06/2014, 17:20

... 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 ... existence and uniqueness of solutions of a class of fractional differential equations J Math Anal Appl 334 (2007) 1–10 Momani, SM, Ibrahim, RW: On a fractional integral equation of periodic functions ... Many studies of the existence of solutions are imposed such as periodicity, asymptotic stability and oscillatory [10–12] In [13], the authors discusses the existence of univalent solutions for

Ngày tải lên: 21/06/2014, 17:20

... analyses the asymptotic behaviour of solutions of linear Volterra difference equations. Some sufficient conditions are presented under which the solutions to a general linear equation converge to limits, ... asymptotic theory of the solutions of Volterra difference equations is extensive, and application of this theory is rapidly increasing to various fields. For the basic theory of difference equations, we ... asymptotic representation of the solutions of a class of convolution scalar difference equations, which have real characteristic roots. We give examples showing the accuracy of our results. Copyright

Ngày tải lên: 22/06/2014, 11:20

... a family of high-order difference schemes for a class of linear DAEs of index at most and for general linear DAEs of strangeness-free form These methods are proven to be convergent of the same ... Computer Methods for Ordinary Differential Equations and DifferentialAlgebraic Equations SIAM (1998) Berger, T., Ilchmann, A.: On the standard canonical form of time-varying linear DAEs Quarterly Appl ... Integration of Differential- Algebraic Equations with Harmless Critical Point Ph.D thesis Humboldt-University of Berlin (2011) 11 Griepentrog, E., Măarz, R.: Differential- algebraic equations and

Ngày tải lên: 17/12/2017, 14:33

... Riemann-Liouville Fractional Differential Equations The question of existence and uniqueness of solutions, i.e, the classical questions concerning ordinary differential equations involving fractional ... fractional differential equation by a Picard -type iteration process The proof of Theorem 2.1.1 is the consequence of two lemmas below 2.2 Existence of Solutions Lemma 2.2.1 Assume the hypotheses of ... Fractional Differential Equations 21 2.1 Main result 21 2.2 Existence of Solutions 22 2.3 Uniqueness of Solutions

Ngày tải lên: 23/12/2019, 16:17

... 16 Integration of Ordinary Differential Equations Note that for compatibility with bsstep the arrays y and d2y are of length 2n for a system of n second-order equations The values of y are stored ... vol 27, pp 505–535 16.6 Stiff Sets of Equations As soon as one deals with more than one first-order differential equation, the possibility of a stiff set of equations arises Stiffness occurs in ... differencing gives In general this is some nasty set of nonlinear equations that has to be solved iteratively at each step Suppose we try linearizing the equations, as in Newton’s method: " # ∂f · (yn+1

Ngày tải lên: 24/12/2013, 12:16

... Sparse Linear Systems A system of linear equations is called sparse if only a relatively small number of its matrix elements a ij are nonzero. It is wasteful to use general methods of linear ... applications.) • Each of the first N locations of ija stores the index of the array sa that contains the first off-diagonal element of the corresponding row of the matrix. (If there are no off-diagonal ... parameter γ = −b 1 to avoid loss of precision by subtraction in the first of equations (2.7.11). In the unlikely event that this causes loss of precision in the second of these equations, you can make

Ngày tải lên: 24/12/2013, 12:16

... 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) ... 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 ... stability radii of parametrized linear differential- algebraic systems, Ph.D thesis, University of Kaiserslautern, 2000 [7] N H Du, Stability radii for differential- algebraic equations, Vietnam

Ngày tải lên: 22/03/2014, 11:20

... 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 ... College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China Full list of author information is available at the end of the article Abstract The linear neutral differential ... decay rates of the solutions Keywords: fixed points, stability, neutral differential equation, variable delays Introduction The objective of this article is to investigate the stability of the zero

Ngày tải lên: 20/06/2014, 22:20

... rewarding, and the results about these equations offer prototypes towards the development of the basic theory of the global behavior of nonlinear difference equations of a big order, recently, many researchers ... models of a second class of diseases associated with the production of red cells, white cells, and platelets in the bone marrow The study of the nonlinear rational difference equations of a higher ... Advances in Difference Equations 2011, 2011:28 http://www.advancesindifferenceequations.com/content/2011/1/28 RESEARCH Open Access Global behavior of the solutions of some difference equations Elmetwally

Ngày tải lên: 21/06/2014, 00:20

... of first-order partial differential equations, including questions such as estimates of solutions of initial problems, estimates of domains of solutions, estimates of the difference between solutions ... functions of one variable, which are solutions of ordinary differential equations or inequalities. There exist many generalizations of the above classical results. We list some of them below. Differential ... uniqueness of viscosity solutions for first order partial differential functional equations Ann Plon Math 59, 65–75 (1994) 15 Topolski, K: Classical methods for viscosity solutions of differential

Ngày tải lên: 21/06/2014, 02:20