Results 21 to 30 of about 11,944 (302)

Long-Term Behaviour in an Exactly Solvable Model of Pure Decoherence and the Problem of Markovian Embedding

open access: yesMathematics, 2023
We consider a well-known, exactly solvable model of an open quantum system with pure decoherence. The aim of this paper is twofold. Firstly, decoherence is a property of open quantum systems important for both quantum technologies and the fundamental ...
Anton Trushechkin
doaj   +1 more source

The Generalized Buckley–Leverett System: Solvability [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2013
26 ...
Chemetov, Nikolai, Neves, Wladimir
openaire   +3 more sources

Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups

open access: yesOpen Mathematics, 2023
In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.
Da Silva Adriano   +3 more
doaj   +1 more source

SOLVABILITY OF THE G2 INTEGRABLE SYSTEM [PDF]

open access: yesInternational Journal of Modern Physics A, 1998
It is shown that the three-body trigonometric G2 integrable system is exactly solvable. If the configuration space is parametrized by certain symmetric functions of the coordinates then, for arbitrary values of the coupling constants, the Hamiltonian can be expressed as a quadratic polynomial in the generators of some Lie algebra of differential ...
Rosenbaum, Marcos   +2 more
openaire   +3 more sources

Non-Solvable Equation Systems with Graphs Embedded in Rn [PDF]

open access: yes, 2013
Different from the homogenous systems, a Smarandache system is a contra- dictory system in which an axiom behaves in at least two different ways within the same system, i.e., validated and invalided, or only invalided but in multiple distinct ...
Mao, Linfan
core   +1 more source

SOLVABILITY OF THE F4 INTEGRABLE SYSTEM [PDF]

open access: yesInternational Journal of Modern Physics A, 2001
It is shown that the F4 rational and trigonometric integrable systems are exactly-solvable for arbitrary values of the coupling constants. Their spectra are found explicitly while eigenfunctions are by pure algebraic means. For both systems new variables are introduced in which the Hamiltonian has an algebraic form being also (block)-triangular. These
Boreskov, Konstantin G.   +2 more
openaire   +3 more sources

Global Stability of Non-Solvable Ordinary Differential Equations With Applications [PDF]

open access: yes, 2013
Different from the system in classical mathematics, a Smarandache system is a contradictory system in which an axiom behaves in at least two different ways within the same system, i.e., validated and invalided, or only invalided but in multiple distinct ...
Mao, Linfan, Linfan Mao
core   +1 more source

On a higher-order system of difference equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2013
Here we study the following system of difference equations \begin{align} x_n&=f^{-1}\bigg(\frac{c_nf(x_{n-2k})}{a_n+b_n\prod_{i=1}^kg(y_{n-(2i-1)})f(x_{n-2i})}\bigg),\nonumber\\ y_n&=g^{-1}\bigg(\frac{\gamma_n g(y_{n-2k})}{\alpha_n+\beta_n \prod_{i=1}^kf(
Stevo Stevic   +3 more
doaj   +1 more source

Representation of Solutions of a Second-Order System of Two Difference Equations With Variable Coefficients

open access: yesPan-American Journal of Mathematics, 2023
A definition of system of two nonlinear difference equations with variable coefficients is given. Our main result shows that the difference equation is solvable in closed form and thus for the constant coefficients.
Ahmed Ghezal, Imane Zemmouri
doaj   +1 more source

Non-Solvable Spaces of Linear Equation Systems [PDF]

open access: yes, 2012
Different from the homogenous systems, a Smarandache system is a contradictory system in which an axiom behaves in at least two different ways within the same system, i.e., validated and invalided, or only invalided but in multiple distinct ...
Mao, Linfan, Linfan Mao
core   +1 more source

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