Differential-algebraic systems as differential equations on manifolds
نویسندگان
چکیده
منابع مشابه
Differential - Algebraic Systems as Differential Equations on Manifolds
Based on the theory of differential equations on manifolds, existence and uniqueness results are proved for a class of mixed systems of differential and algebraic equations as they occur in various applications. Both the autonomous and nonautonomous case are considered. Moreover, a class of algebraically incomplete systems is introduced for which existence and uniqueness results only hold on ce...
متن کاملStochastic Differential Equations on Manifolds
In [1] and [2], we studied the problem of the existence and uniqueness of a solution to some general BSDE on manifolds. In these two articles, we assumed some Lipschitz conditions on the drift f(b, x, z). The purpose of this article is to extend the existence and uniqueness results under weaker assumptions, in particular a monotonicity condition in the variable x. This extends well-known result...
متن کاملSolution Manifolds for Systems of Differential Equations
This paper defines a solution manifold and a stable submanifold for a system of differential equations. Although we eventually work in the smooth topos, the first two sections do not mention topos theory and should be of interest to non-topos theorists. The paper characterizes solutions in terms of barriers to growth and defines solutions in what are called filter rings (characterized as C∞-red...
متن کاملDifferential Equations by using matrix algebraic systems
The paper develops the method for construction of families of particular solutions to some classes of nonlinear Partial Differential Equations (PDE). Method is based on the specific link between algebraic matrix equations and PDE. Admittable solutions involve arbitrary functions of either single or several variables.
متن کاملAlgebraic Differential Equations and Rational Control Systems
SYSTEMS Yuan Wang Mathematics Department, Florida Atlantic University, Boca Raton, Fl 33431 (407)367-3317, E-mail: y [email protected] Eduardo D. Sontag Department of Mathematics, Rutgers University, New Brunswick, NJ 08903 (908)932-3072, E-mail: [email protected] ABSTRACT An equivalence is shown between realizability of input/output operators by rational control systems and high orde...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1984
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1984-0758195-5