Results 21 to 30 of about 1,301,854 (405)
IEEE transactions on industrial electronics (1982. Print), 2020 Robot trajectory tracking control based on differential-algebraic equation (DAE) models is still a thorny issue, because the DAEs of such systems are inherently complex and unstable, such as the high-index problem.
Haijun Peng +3 more
semanticscholar +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2022 This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations of the second order. The case of simple roots of the characteristic equation is studied.
P.F. Samusenko, M.B. Vira
doaj +1 more source
Navier--Stokes equations, the algebraic aspect [PDF]
, 2021 Analysis of the Navier-Stokes equations in the frames of the algebraic approach to systems of partial differential equations (formal theory of differential equations) is presented.
arxiv +1 more source
Phenomenological rate-independent uniaxial hysteretic models: A mini-review
Frontiers in Built Environment, 2022 A great variety of phenomenological models has been proposed over the years to model rate-independent hysteretic forces in structural mechanics. The classification of such models is usually based on the type of equation that needs to be solved to ...
Raffaele Capuano +2 more
doaj +1 more source
Picard-Vessiot Extensions of Real Differential Fields [PDF]
, 2019 For a linear differential equation defined over a formally real differential field K with real closed field of constants k, Crespo, Hajto and van der Put proved that there exists a unique formally real Picard- Vessiot extension up to K-differential ...
Crespo, Teresa, Hajto, Zbigniew
core +2 more sources
Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, 2022 Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian, Sendra, Rafael
openaire +2 more sources
Algebraic Solutions of the Lam\'e Equation, Revisited [PDF]
, 2002 A minor error in the necessary conditions for the algebraic form of the Lam\'e equation to have a finite projective monodromy group, and hence for it to have only algebraic solutions, is pointed out. [See F. Baldassarri, "On algebraic solutions of Lam\'e'
Baldassarri +14 more
core +3 more sources
Algebraic structure of space and field
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili +1 more
doaj +1 more source
Algebras and differential equations [PDF]
Nagoya Mathematical Journal, 1977 One purpose of this paper is a purely algebraic study of (systems of) ordinary differential equations of the typewhere the coefficients are taken from a fixed associative, commutative, unital ring R, such as the field R of real or C of complex numbers or a commutative, unital Banach algebra.
openaire +3 more sources
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
TOMS, 2005 SUNDIALS is a suite of advanced computational codes for solving large-scale problems that can be modeled as a system of nonlinear algebraic equations, or as initial-value problems in ordinary differential or differential-algebraic equations.
A. Hindmarsh +6 more
semanticscholar +1 more source