منابع مشابه
A note on the eight tetrahedron equations
In this paper we derive from arguments of string scattering a set of eight tetrahedron equations, with different index orderings. It is argued that this system of equations is the proper system that represents integrable structures in three dimensions generalising the Yang-Baxter equation. Under additional restrictions this system reduces to the usual tetrahedron equation in the vertex form. Mo...
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Let F be a Banach space and L(F ) be the set of all its bounded linear operators. In this note, we are interested in the asymptotic behavior (recurrence and chain recurrence) of the solution of the following initial value problem x(t) = X(t)x(t), x(0) = x, (1) where x ∈ F and the map t 7→ X(t) ∈ L(F ) is a T -periodic continuous curve. This asymptotic behavior is related to the asymptotic behav...
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In a recent paper, an algorithm that produces dampening controllers based on a periodic Hamiltonian was proposed. Central to this algorithm is the formulation of symmetric and skew-symmetric damped algebraic Riccati equations. It was shown that solutions to these two Riccati equations lead to a dampening feedback, i.e., a stable closed–loop system for which the real parts of the eigenvalues are...
متن کاملNote on a Class of Diffusion Equations.
character-for example, to allow it to contain knots. Thus an alternative less restrictive condition is to assume that there is a tubular neighborhood N of s which is homeomorphic with a neighborhood N' of the circumference s', with s mapped on s'. Odd or even linkage with s of an arbitrary simple closed a, which has no points in common with s, is determined by a homology mod 2 relation in the r...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1972
ISSN: 0022-247X
DOI: 10.1016/0022-247x(72)90277-6