170 citations
- Polish Academy of SciencesPL35 papers
- National Academy of Sciences of UkraineUA16 papers
- Wrocław University of Science and TechnologyPL16 papers
- Jagiellonian UniversityPL14 papers
- University of BiałystokPL14 papers
- University of WrocławPL14 papers
- University of WarsawPL12 papers
- University of Silesia in KatowicePL11 papers
- Institute of PhysicsPL10 papers
- University of ViennaAT10 papers
- University of OpolePL7 papers
- Ben-Gurion University of the NegevIL6 papers
35 papers · 1 filter
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I
Roman Cherniha, Olexii Pliukhin
A complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It is shown that all the known re…
An efficient algorithm for positive realizations
Wojciech Czaja, Philippe Jaming, Maté Matolcsi
We observe that successive applications of known results from the theory of positive systems lead to an {\it efficient general algorithm} for positive realizations of transfer func…
Smoothing problem in anticipating scenario
Andrey A Dorogovtsev
This article is devoted to the stochastic anticipating equations with the extended stochastic integral with respect to the Gaussian processes of a special type and its application…
Equivalence of conservation laws and equivalence of potential systems
Nataliya M. Ivanova, Roman O. Popovych
We study conservation laws and potential symmetries of (systems of) differential equations applying equivalence relations generated by point transformations between the equations.…
A canonical decomposition for linear operators and linear relations
S. Hassi, Z. Sebestyén, H. S. V. de Snoo +1
An arbitrary linear relation (multivalued operator) acting from one Hilbert space to another Hilbert space is shown to be the sum of a closable operator and a singular relation who…
Exact Solutions of a Remarkable Fin Equation
R. O. Popovych, C. Sophocleous, O. O. Vaneeva
A model "remarkable" fin equation is singled out from a class of nonlinear (1+1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means o…