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Boundary conditions for quad-graph systems

Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency

Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency

... Toda-type systems with boundary through the three-leg form of integrable equations on quad-graphs and we recover the previous approach to boundary conditions for discrete integrable ...

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Integrable boundary for quad-graph systems: Three-dimensional boundary consistency

Integrable boundary for quad-graph systems: Three-dimensional boundary consistency

... Integrable Systems” conference held at the Newton Institute for Mathema- tical ...and quad-graph equations, some of which is related to our results shown in Table ...

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Continuous and quad-graph integrable models with a boundary: Reflection maps and 3D-boundary consistency

Continuous and quad-graph integrable models with a boundary: Reflection maps and 3D-boundary consistency

... integrable systems have been extensively studied as one of the most attractive fields in mathematical ...integrable systems is that certain nonlinear systems can be exactly solved by mathematical ...

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Impulsive quantum difference systems with boundary conditions

Impulsive quantum difference systems with boundary conditions

... Abstract This article studies the existence and uniqueness of solutions for coupled systems of nonlinear impulsive quantum difference equations with coupled and uncoupled boundary conditions. The ...

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Boundary conditions and the residual entropy of ice systems

Boundary conditions and the residual entropy of ice systems

... finite-size systems with periodic boundary ...how boundary conditions affect the calculation of the residual entropy for square, cubic, and hexagonal lattices using periodic, antiperiodic, and ...

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Improved algebraic cryptanalysis of QUAD, Bivium and trivium via graph partitioning on equation systems

Improved algebraic cryptanalysis of QUAD, Bivium and trivium via graph partitioning on equation systems

... preprocessing systems of polynomial equations via graph ...variable-sharing graph of a system of polynomial equations is defined. If such graph is discon- nected, then the corresponding system ...

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Improved  Algebraic  Cryptanalysis  of  QUAD,  Bivium   and  Trivium  via  Graph  Partitioning  on  Equation  Systems

Improved Algebraic Cryptanalysis of QUAD, Bivium and Trivium via Graph Partitioning on Equation Systems

... solving systems of polyno- mial equations via graph ...variable-sharing graph of a system of polynomial equations is defined. If such graph is disconnected, then the corresponding system of ...

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The first eigenvalue of-Laplacian systems with nonlinear boundary conditions

The first eigenvalue of-Laplacian systems with nonlinear boundary conditions

... WITH NONLINEAR BOUNDARY CONDITIONS D. A. KANDILAKIS, M. MAGIROPOULOS, AND N. B. ZOGRAPHOPOULOS Received 12 October 2004 and in revised form 21 January 2005 We study the properties of the positive principal ...

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QUAD-LOCK BUILDING SYSTEMS

QUAD-LOCK BUILDING SYSTEMS

... relevant boundary, the construction should comply with the relevant exceptions on the use of combustible materials permitted by the guidance supporting the Building Regulations in ...

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Non-Newtonian polytropic filtration systems with nonlinear boundary conditions

Non-Newtonian polytropic filtration systems with nonlinear boundary conditions

... 4. Wu, ZQ, Zhao, JN, Yin, JX, Li, HL: Nonlinear Diffusion Equations. Word Scientific Publishing Co. Inc., River Edge, NJ (2001) 5. Li, ZP, Mu, CL, Li, YH: Blowup for a non-Newtonian polytropic filtration system coupled ...

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On sampling theories and discontinuous Dirac systems with eigenparameter in the boundary conditions

On sampling theories and discontinuous Dirac systems with eigenparameter in the boundary conditions

... Abstract The sampling theory says that a function may be determined by its sampled values at some certain points provided the function satisfies some certain conditions. In this paper we consider a Dirac system ...

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Radial positive solutions of elliptic systems with Neumann boundary conditions

Radial positive solutions of elliptic systems with Neumann boundary conditions

... the mountain pass Lemma in K to prove the existence of a nontrivial positive solution, see [3]. As we do not want to restrict our attention to gradient systems, we cannot use variational arguments. Also, a ...

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Synthesis of optimal boundary control of parabolic systems with delay and distributed parameters on the graph

Synthesis of optimal boundary control of parabolic systems with delay and distributed parameters on the graph

... the boundary nodes of the graph on the entire time ...the boundary value problem with delay and distributed parameters on the graph with the final ...The conditions of weak unique ...

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Nonlinear boundary value conditions and ordinary differential systems with impulsive effects

Nonlinear boundary value conditions and ordinary differential systems with impulsive effects

... 1. Ekeland, I, Ghoussoub, N, Tehrani, H: Multiple solutions for a classical problem in the calculus of variations. J. Differ. Equ. 131, 229-243 (1996) 2. Dong, Y: Index Theory for Hamiltonian Systems and Multiple ...

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Computing eigenvalues and Hermite interpolation for Dirac systems with eigenparameter in boundary conditions

Computing eigenvalues and Hermite interpolation for Dirac systems with eigenparameter in boundary conditions

... interpolations’ to compute approximate values of the eigenvalues of Dirac systems with eigenvalue parameter in one or two boundary conditions. We use recently derived estimates for the truncation and ...

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Systems of differential equations with implicit impulses and fully nonlinear boundary conditions

Systems of differential equations with implicit impulses and fully nonlinear boundary conditions

... 2 Notation and definitions In this section, we present the notation, definitions, and assumptions that we use to obtain a priori bounds on solutions. Let H denote finite or infinite dimensional Hilbert spaces. For a bounded ...

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Eigenvalues of stochastic Hamiltonian systems driven by Poisson process with boundary conditions

Eigenvalues of stochastic Hamiltonian systems driven by Poisson process with boundary conditions

... tonian systems driven by Poisson ...Hamiltonian systems and establish the relationship between stochastic Hamiltonian systems driven by Poisson pro- cess and a kind of Riccati equation systems ...

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Positive solutions for a class of fractional difference systems with coupled boundary conditions

Positive solutions for a class of fractional difference systems with coupled boundary conditions

... 20. Sun, Q., Meng, S., Cui, Y.: Existence results for fractional order differential equation with nonlocal Erdélyi–Kober and generalized Riemann–Liouville type integral boundary conditions at resonance. Adv. ...

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Lp-estimates for the square root of elliptic systems with mixed boundary conditions

Lp-estimates for the square root of elliptic systems with mixed boundary conditions

... ELLIPTIC SYSTEMS WITH MIXED BOUNDARY CONDITIONS MORITZ EGERT ...elliptic systems of second order in divergence form on a bounded ...Dirichlet/Neumann boundary conditions on ...

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Stability and Controllability of a class of 2D linear systems with Dynamic Boundary Conditions

Stability and Controllability of a class of 2D linear systems with Dynamic Boundary Conditions

... linear systems state-space model of the dynamics of these ...linear systems, this 1-D model interpretation of the dynamics of dis- crete linear repetitive processes is defined by matrices and vec- tors of ...

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