Results 51 to 60 of about 250,487 (182)

Extensions of differential representations of SL(2) and tori

, 2011
Linear differential algebraic groups (LDAGs) measure differential algebraic dependencies among solutions of linear differential and difference equations with parameters, for which LDAGs are Galois groups.
Alexey Ovchinnikov, Andrey Minchenko, Cassidy, Kolchin, Kolchin, Zobnin   +5 more
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Nonlinear elliptic problems with the method of finite volumes

Differential Equations and Nonlinear Mechanics, 2006
We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj   +1 more source

Asymptotic solutions of singularly perturbed linear differential-algebraic equations with periodic coefficients

Математичні Студії, 2023
The paper deals with the problem of constructing asymptotic solutions for singular perturbed linear differential-algebraic equations with periodic coefficients. The case of multiple roots of a characteristic equation is studied.
S. Radchenko, V. Samoilenko, P. Samusenko   +2 more
doaj   +1 more source

Splitting fields and general differential Galois theory

, 2010
An algebraic technique is presented that does not use results of model theory and makes it possible to construct a general Galois theory of arbitrary nonlinear systems of partial differential equations.
A. Pillay, B. Poizat, D. Marker, Dmitry V Trushin, E. R. Kolchin, M. F. Atiyah, M. Rosenlicht, M. van der Put, Ph. J. Cassidy   +8 more
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Algebraic entropy for semi-discrete equations

, 2012
We extend the definition of algebraic entropy to semi-discrete (difference-differential) equations. Calculating the entropy for a number of integrable and non integrable systems, we show that its vanishing is a characteristic feature of integrability for
Ablowitz M J, Ablowitz M J, C-M Viallet, D K Demskoi, Grammaticos B, Gromov M, Halburd R, Levi D, McMullen C T, Mikhailov A V, Mikhailov A V, Mikhailov A V, Ramani A, Takenawa T, Tamizhmani K M, Viallet C-M, Yamilov R I, Yamilov R I   +17 more
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An algebraic Birkhoff decomposition for the continuous renormalization group

, 2004
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer.
Brouder C., Butcher J. C., Cayley A., Connes A., Figueroa H., Florian Girelli, Gallavotti G., Gallavotti G., Girelli F., Hairer E., Hurd T., Kastler D., Kogut J., Petermann A., Pierre Martinetti, Sakakibara M., Thomas Krajewski, Wilson K. G.   +17 more
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On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations

Computation, 2021
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of a class of nonlinear differential equations containing polynomial nonlinearities.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov   +2 more
doaj   +1 more source

The Differential Counting Polynomial [PDF]

, 2015
The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case.
Lange-Hegermann, Markus
core  

Stability criteria for delay differential-algebraic equations

上海师范大学学报. 自然科学版, 2014
The asymptotic stability of delay differential-algebraic equations are researched in this paper.Two stability criteria described by evaluating a corresponding harmonic function on the boundary of a torus region are presented.
LIU Lingling, FAN Ni, SUN Leping
doaj   +1 more source

Dressing method based on homogeneous Fredholm equation: quasilinear PDEs in multidimensions

, 2007
In this paper we develop a dressing method for constructing and solving some classes of matrix quasi-linear Partial Differential Equations (PDEs) in arbitrary dimensions.
A I Zenchuk, Ablowitz M J, Bogdanov L V, Bruschi M, Calogero F, Konopelchenko B, Korteweg D J, P M Santini, Santini P M Zenchuk A I, Tsarev S P, Whitham J B, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zenchuk A, Zenchuk A I, Zenchuk A I, Zenchuk A I   +20 more
core   +3 more sources