LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS

The notions of equivalence and strict equivalence for order one differential
equations of the form f(y
0
, y,z) = 0 are introduced. The more explicit
notion of strict equivalence is applied to examples and questions concerning
autonomous equations and equations having the Painleve property. The ´
or[r]

(1.1)∗Research of the authors was supported by the Vietnam Institute for Advanced Study in Mathematics(VIASM).†College of Information and Communication Technology, Can Tho University, 1 Ly Tu Trong, CanTho, Vietnam; email: ntqui@cit.ctu.edu.vn.‡Institute of Mathematics, Vietnam Academy of Science an[r]

is textbook is ideal for an undergraduate course in Engineering System Dynamics and Controls. It is intended to provide the reader with a thorough understanding of the process of creating mathematical (and computerbased) models of physical systems. The material is restricted to lumped parameter mode[r]

We shall deal with some problems concerning the stability domains, the
spectrum of matrix pairs, the exponential stability and its robustness measure
for linear implicit dynamic equations of arbitrary index. First, some characterizations
of the stability domains corresponding to a convergent sequenc[r]

t. The stability analysis for linear implicit mth order difference equations is discussed.
We allow the leading coefficient coefficient to be singular, i.e., we include the situation that the system
does not generate an explicit recursion. A spectral condition for the characterization of asymptotic[r]

Abstract. Let Pk be the graded polynomial algebra F2x1, x2, . . . , xk, with
the degree of each xi being 1, regarded as a module over the mod2 Steenrod
algebra A, and let GLk be the general linear group over the prime field F2.
We study the algebraic transfer constructed by Singer 20, using the tech[r]

*CHEM 155-156 is recommended for transfer students,but not required for the Associate Degree. Anotherelective course can be selected in its place.Preparation for TransferCourse requirements for transfer vary depending uponthe college or university a student wishes to attend.Therefore, it is most imp[r]

NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS NUMERICAL SOLUTIONS OF OR[r]

Advantages of Symbol Processing:❼ often considerably less computational effort compared to numerics.❼ symbolic results (for further calculations), proofs in the strict manner possible.Disadvantages of Symbol Processing:❼ often there is no symbolic (closed form) solution, then Numerics will be applie[r]

This book is intended to provide the engineer with technical information on subsynchronous resonance (SSR), and to show how the computation of eigenvalues for the study of SSR in an interconnected power system can be accomplished. It is primarily a book on mathematical modeling.[r]

We consider certain local global principles related with some splitting problems for connected linear
algebraic groups over global fields. The main tools are certain reciprocity results due to Prasad and
Rapinchuk, Harder’s Hasse principle for homogeneous projective spaces of reductive groups for n[r]

We study the strong rate of convergence of the tamed EulerMaruyama
approximation for onedimensional stochastic differential equations
with superlinearly growing drift and H¨older continuous diffusion coef
ficients.

Abstract. This paper studies both nonautonomous stochastic differential
equations and stochastic differential delay equations with Markovian
switching. A new result on almost sure stability of stochastic
differential equations is given. Moreover, we provide new conditions for
tightness and almost su[r]

Ổn định kích thích nhỏ và ứng dụng trên Phần mềm PSSE.NỘI DUNG CHÍNH PHẦN 21 (small signal stability and application of small signal stability): 1. Transient Stability: a. Time Domain Analysis. b. Step wise Integration of Differential Equations. 2. SmallSignal Stability. a. Frequency Domain An[r]

The goal of these notes is to explain recent results in the theory of complex varieties,
mainly projective algebraic ones, through a few geometric questions pertaining to hyperbolicity
in the sense of Kobayashi. A complex space X is said to be hyperbolic if analytic disks
f : D → X through a given p[r]

We consider a class of stochastic functional differential equations with distributed delays
whose coefficients are superlinear growth and H¨older continuous with respect to the delay components.
We introduce an EulerMaruyama approximation scheme for these equations and study
their strong rate of con[r]

We find upper bounds for the rate of convergence when the EulerMaruyama approximation
is used in order to compute the expectation of nonsmooth functionals of some stochastic
differential equations whose diffusion coefficient is constant, whereas the drift coefficient may
be very irregular. As a bypr[r]

ABSTRACT. We consider simultaneous solutions of operator Sylvester equations AiX −
XBi = Ci
, (1 ≤ i ≤ k), where (A1, ..., Ak) and (B1, ..., Bk) are commuting ktuples
of bounded linear operators on Banach spaces E and F, respectively, and (C1, ..., Ck)
is a (compatible) ktuple of bounded linear oper[r]

Lecture Physical modeling in MATLAB has contents: Variables and values, scripts, loops, vectors, functions, zerofinding, functions of vectors, ordinary differential equations, systems of ODEs, secondorder systems, optimization and interpolation,...and other contents.