54 research outputs found
Nambu-Poisson manifolds and associated n-ary Lie algebroids
We introduce an n-ary Lie algebroid canonically associated with a
Nambu-Poisson manifold. We also prove that every Nambu-Poisson bracket defined
on functions is induced by some differential operator on the exterior algebra,
and characterize such operators. Some physical examples are presented
Approximate Homomorphisms of Ternary Semigroups
A mapping between ternary semigroups will be
called a ternary homomorphism if . In this paper,
we prove the generalized Hyers--Ulam--Rassias stability of mappings of
commutative semigroups into Banach spaces. In addition, we establish the
superstability of ternary homomorphisms into Banach algebras endowed with
multiplicative norms.Comment: 10 page
Generalized ulam-hyers stability of C*-Ternary algebra n-Homomorphisms for a functional equation
Asymptotic analysis of certain systems of linear differential equations with a large parameter
Solution of an exisymmetric elasticity theory problem for a cylindrical layer by the matrix-operator method
Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide
Spectral analysis of periodic systems with degenerate weight (expansions in Bloch solutions)
- …