Results 1 to 10 of about 250,487 (182)
Differential Equations and Algebraic Relations
Journal of Symbolic Computation, 1998 Let \(L\) be a Picard-Vessiot extension of \(F\), \(R\) be a ring of Picard-Vessiot elements of \(L\) over \(F\) and \(G= \text{Gal} (L/F)\). Suppose that \(R= F[y_1,\dots,y_n]= F[y]\), \(G(V)\subset V\), where \(V\) is a linear envelope of \(y\) over the constants of \(F\), and let \(I\) be a defining ideal of \(y\) in \(F[y]\). The author presents in
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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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Carleman linearization of differential-algebraic equations systems
Results in Applied MathematicsCarleman linearization is a mathematical technique that transforms nonlinear dynamical systems into infinite-dimensional linear systems, enabling simplified analysis.
Marcos A. Hernández-Ortega +3 more
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Analytical solution of a class of coupled second order differential-difference equations
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper coupled systems of second order differential-difference equations are considered. By means of the concept of co-solution of certain algebraic equations associated to the problem, an analytical solution of initial value problems for coupled ...
L. Jódar, J. A. Martin Alustiza
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Boundary value problems for systems of non-degenerate difference-algebraic equations
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019 The study of differential-algebraic boundary value problems was initiated in the works of K. Weierstrass, N.N. Luzin and F.R. Gantmacher. Systematic study of differential-algebraic boundary value problems is devoted to the work of S.
Sergey Chuiko +2 more
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Aspects of derivative causality in bond-graph models
MATEC Web of Conferences, 2017 The bond-graph method used in the analysis of system dynamics problems leads to a system containing a number of differential equations equal to the number of energy storing elements in integral causality and a number of algebraic equations equal to the ...
Ibănescu Radu, Ibănescu Mihaela
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Наука и техника, 2012 The paper reveals a brand-new direction in simulation of frame and continual structures while calculating static and dynamic loads and stability. An electronic model has been synthesized for an investigated object and then it has been analyzed not with
V. M. Ovsianko
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A data-driven optimization algorithm for differential algebraic equations with numerical infeasibilities. [PDF]
AIChE J, 2020 Beykal B +3 more
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Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations
Journal of Applied Mathematics, 2014 This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs).
Brahim Benhammouda +2 more
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On the classical geometry of embedded surfaces in terms of Poisson brackets
, 2010 We consider surfaces embedded in a Riemannian manifold of arbitrary dimension and prove that many aspects of their differential geometry can be expressed in terms of a Poisson algebraic structure on the space of smooth functions of the surface.
Arnlind, Joakim +2 more
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