Results 271 to 280 of about 11,944 (302)
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Solvability problems for ND-systems
Cybernetics and Systems Analysis, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Solvability of One Class of Quasielliptic Systems
Siberian Mathematical Journal, 2020The authors investigate the class of quasi-elliptic systems in \(\mathbb{R}^n\) \[\mathcal{L}(D_x)U=F(x),\quad x\in\mathbb{R}^n,\tag{1}\] and the boundary value problem for \((1)\) in the half-space \[\left\{\begin{array}{l} \mathcal{L}(D_x)U=F(x),\quad x\in\mathbb{R}_+^n,\\ \mathcal{B}(D_x)U|_{x_n=0}=0, \end{array}\right.\tag{2}\] where the matrix ...
Bondar, L. N., Demidenko, G. V.
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On fourteen solvable systems of difference equations
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tollu, D. T., Yazlik, Y., Taskara, N.
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Solvability of Systems of Linear Interval Equations
SIAM Journal on Matrix Analysis and Applications, 2003Summary: A system of linear interval equations is called solvable if each system of linear equations contained therein is solvable. In the main result of this paper it is proved that solvability of a general rectangular system of linear interval equations can be characterized in terms of nonnegative solvability of a finite number of systems of linear ...
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Solvable Algebras and Integrable Systems
Regular and Chaotic DynamicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematical Physics, 1995
The initial-value problem for the dynamical system characterized by the Hamiltonian H=λn∑nj=1 pj+μ∑nj,k=1 (pjpk)1/2 cos[ν(qj−qk)] is solved in completely explicit form, for arbitrary n. A set of matrices is introduced, whose remarkable properties are related to this problem, and also present an interest of their own.
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The initial-value problem for the dynamical system characterized by the Hamiltonian H=λn∑nj=1 pj+μ∑nj,k=1 (pjpk)1/2 cos[ν(qj−qk)] is solved in completely explicit form, for arbitrary n. A set of matrices is introduced, whose remarkable properties are related to this problem, and also present an interest of their own.
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Geometrical proofs for the global solvability of systems
Mathematische Nachrichten, 2018AbstractWe study a linear operator associated with a closed non‐exact 1‐form b defined on a smooth closed orientable surface M of genus . Here we present two proofs that reveal the interplay between the global solvability of the operator and the global topology of the surface. The first result brings an answer for the global solvability when the system
Adalberto Panobianco Bergamasco +3 more
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On a solvable rational system of difference equations
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On some solvable systems of difference equations
Applied Mathematics and Computation, 2012The author studies the following system of difference equations \[ x_{n+1}=\frac{u_n}{1+v_n}, \qquad y_{n+1}=\frac {w_n}{1+s_n}, \qquad n\in \mathbb{N}_0, \] where \(u_n\), \(v_n\), \(w_n\), \(s_n\) are some of the sequences \(x_n\) or \(y_n\), with real initial values \(x_0\) and \(y_0\).
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Factorisation of Petri Net Solvable Transition Systems
2018In recent papers, general conditions were developed to characterise when and how a labelled transition system may be factorised into non-trivial factors. These conditions combine a local property (strong diamonds) and a global one (separation), the latter being of course more delicate to check. Since one of the aims of such a factorisation was to speed
Devillers, Raymond, Schlachter, Uli
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