Results 41 to 50 of about 16,698 (215)
Index reduction of differential algebraic equations by differential algebraic elimination
CoRR, 2015 19 pages ...
Xiaolin Qin +4 more
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Homological Algebra for Superalgebras of Differentiable Functions
, 2012 This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr. +2 more
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Painlevé Equation PII and Strongly Normal Extensions
Demonstratio Mathematica, 2016 The aim of this paper is to show that if F is a differential field and y is a PII transcendent such that tr.deg.F 〈y〉 = 2, then every constant in F〈y〉 is in F. We also show that in this case, F〈y〉 is not contained in any strongly normal extension.
Miri Sofiane El-Hadi
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Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
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DiffAlg: a Differential algebra package [PDF]
Journal of Software for Algebra and Geometry, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubinsky, Manuel +3 more
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3-Derivations and 3-Automorphisms on Lie Algebras
Mathematics, 2022 In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
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Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K}
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Spectral Curves for Third-Order ODOs
AxiomsSpectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
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A counterexample in differential algebra [PDF]
Proceedings of the American Mathematical Society, 1965 1. The example. Let A be a nontrivial additive subgroup of the complexes, C, with a finite additive basis, c1, . , c.n; and let G be the multiplicative group of those complex numbers u such that A is closed under multiplication by both u and u-1. Suppose that G does not consist entirely of roots of unity.2 Let F be the field of meromorphic functions ...
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Global optimization of interplanetary transfers with deep space maneuvers using differential algebra
, 2017 In this chapter, differential algebra is used to globally optimize multigravity assist interplanetary trajectories with deep space maneuvers. A search space pruning procedure is adopted, and the trajectory design is decomposed into a sequence of sub ...
Topputo, F +4 more
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