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Ekaterina Shemyakova
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Positions
Associate Chair
,
Mathematics and Statistics
,
College of Natural Sciences and Mathematics
Contact Info
Ekaterina.Shemyakova@utoledo.edu
http://homepages.utoledo.edu/eshemya/
Publications
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Publications
selected publications
Article (Web of Science)
2021
On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms
.
LETTERS IN MATHEMATICAL PHYSICS
. 111.
Full Text via DOI:
10.1007/s11005-021-01383-4
2021
On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms
.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
. 74.
Full Text via DOI:
10.1016/j.difgeo.2020.101704
2019
Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator
.
LETTERS IN MATHEMATICAL PHYSICS
. 109:403-421.
Full Text via DOI:
10.1007/s11005-018-1113-9
2017
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
.
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
.
Full Text via DOI:
10.3842/sigma.2017.010
2017
Differential operators on the superline, Berezinians, and Darboux transformations
.
LETTERS IN MATHEMATICAL PHYSICS
. 107:1689-1714.
Full Text via DOI:
10.1007/s11005-017-0958-7
2016
An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables
.
Programming and Computer Software
. 42:112-119.
Full Text via DOI:
10.1134/s0361768816020092
2015
Darboux transformations for differential operators on the superline
.
Russian Mathematical Surveys
. 70:1173-1175.
Full Text via DOI:
10.1070/rm2015v070n06abeh004978
2015
Invertible Darboux transformations of type I
.
Programming and Computer Software
. 41:119-125.
Full Text via DOI:
10.1134/s0361768815020085
2014
Darboux transformations for factorable Laplace operators
.
Programming and Computer Software
. 40:151-157.
Full Text via DOI:
10.1134/s0361768814030062
2013
A package to work with linear partial differential operators
.
Programming and Computer Software
. 39:212-219.
Full Text via DOI:
10.1134/s0361768813040063
2013
Invertible Darboux Transformations
.
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
.
Full Text via DOI:
10.3842/sigma.2013.002
2013
Proof of the Completeness of Darboux Wronskian Formulae for Order Two
.
Canadian Journal of Mathematics
. 65:655-674.
Full Text via DOI:
10.4153/cjm-2012-026-7
2012
Laplace transformations as the only degenerate Darboux transformations of first order
.
Programming and Computer Software
. 38:105-108.
Full Text via DOI:
10.1134/s0361768812020053
2011
X- and Y-invariants of partial differential operators in the plane
.
Programming and Computer Software
. 37:192-196.
Full Text via DOI:
10.1134/s0361768811020095
2010
A conjecture concerning a completely monotonic function
.
Computers & Mathematics with Applications
. 60:1360-1363.
Full Text via DOI:
10.1016/j.camwa.2010.06.017
2010
Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension
.
Mathematics in Computer Science
. 4:223-230.
Full Text via DOI:
10.1007/s11786-010-0052-3
2009
Differential transformations of parabolic second-order operators in the plane
.
Proceedings of the Steklov Institute of Mathematics
. 266:219-227.
Full Text via DOI:
10.1134/s0081543809030134
2007
Obstacles to factorization of partial differential operators into several factors
.
Programming and Computer Software
. 33:67-73.
Full Text via DOI:
10.1134/s036176880702003x
2007
Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane
.
Mathematics in Computer Science
. 1:225-237.
Full Text via DOI:
10.1007/s11786-007-0019-1
2004
Involutive Divisions. Graphs
.
Programming and Computer Software
. 30:68-74.
Full Text via DOI:
10.1023/b:pacs.0000021263.97826.ef
Book Chapter (Web of Science)
2012
Linear Partial Differential Equations and Linear Partial Differential Operators in Computer Algebra
.
Texts & Monographs in Symbolic Computation
. 333-358.
Full Text via DOI:
10.1007/978-3-7091-0794-2_14
Correction (Web of Science)
2021
On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms (vol 111, 41, 2021)
.
LETTERS IN MATHEMATICAL PHYSICS
.
Full Text via DOI:
10.1007/s11005-021-01421-1
featured in
(Overview of the results of my PhD thesis. Invited by the editors.) Symbolic and Algebraic Methods for Linear Partial Differential Operators
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