01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
13.10.1973
E-mail:
Keywords:
existence of solutions of inverse problems,
the calculus of variations,
partial differential difference,
potentiality,
construction,
variational multiply,
symmetries,
with partial derivatives.
UDC:
517.9
Subject:
Inverse problems of the calculus of variations for partial differential difference operators
I.A. Kolesnikova, “Necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives”, Journal of Mathematical Sciences, 180:6 (2012), 673-684
I.A. Kolesnikova, “On the Existence of Variational Principles for a Differential-Difference Evolution Operator”, Differential Equations, 48:6 (2012), 881–885
I.A. Kolesnikova, V.M. Savchin, “On the Existence of Variational Principles for a Class of the Evolutionary Differential-Difference Equations”, Journal of Function Spaces and Applications, 2012, 780382, 9 pp.
I. A. Kolesnikova, “On the construction of a variational principle for a certain class of differential-difference operator equations”, CMFD, 67:2 (2021), 316–323
2010
2.
I. A. Kolesnikova, “Necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives”, CMFD, 37 (2010), 5–15; Journal of Mathematical Sciences, 180:6 (2012), 673–684