Results 41 to 50 of about 243,415 (192)
Differential Equations and Algebras
, 2023 A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus ...
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Algebraic entropy for differential-delay equations [PDF]
, 2014 We extend the definition of algebraic entropy to a class of differential-delay equations. The vanishing of the entropy, as a structural property of an equation, signals its integrability.
Viallet, Claude M.
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Construction of Special Solutions for Nonintegrable Systems
, 2006 The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J +30 more
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Semigroups Associated with Differential-Algebraic Equations [PDF]
, 2020 We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a $C_{0}$-semigroup with such equations. We determine the right space of initial values and characterise the existence of a $C_{0}$-semigroup in the case of operator pencils with polynomially bounded resolvents.
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Differential Equations and Algebraic Relations
Journal of Symbolic Computation, 1998 AbstractWe consider a linear differential equationLy=0 of ordernwith coefficients inC(z) whose differential Galois groupGis supposed to be reductive and unimodular. We give an algorithm for the construction of a system of generators of the ideal of algebraic relations, with coefficients inC(z), among the entries of a fundamental matrix of solutions ...
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The Exponentially Faster Stick-Slip Dynamics of the Peeling of an Adhesive Tape
, 2014 The stick-slip dynamics is considered from the nonlinear differential-algebraic equation (DAE) point of view and the peeling dynamics is shown to be a switching differential index DAE model.
Mishra, Nachiketa +2 more
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Modular forms, Schwarzian conditions, and symmetries of differential equations in physics
, 2017 We give examples of infinite order rational transformations that leave linear differential equations covariant. These examples are non-trivial yet simple enough illustrations of exact representations of the renormalization group.
Abdelaziz, Y., Maillard, J. -M.
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Algebra, Coalgebra, and Minimization in Polynomial Differential Equations [PDF]
Logical Methods in Computer Science, 2017 We consider reasoning and minimization in systems of polynomial ordinary differential equations (ode's). The ring of multivariate polynomials is employed as a syntax for denoting system behaviours. We endow this set with a transition system structure based on the concept of Lie-derivative, thus inducing a notion of L-bisimulation.
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Fractional differential equations solved by using Mellin transform
, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
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The motions of algebraic differential equations [PDF]
Glasgow Mathematical Journal, 1984 We confine ourselves, for simplicity, to first-order algebraic differential equations (ADE's), although analogous considerations may be made for higher-order ADE's:P(x, y(x), y'(x)) = 0. (*)A motion of (*) is a change of independent variable that takes solutions to solutions, that is, a suitable map <p of the underlying interval I into itself so ...
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