we study connected orientable spacelike hypersurfaces $x:m^{n}rightarrowm_q^{n+1}(c)$, isometrically immersed into the riemannian or lorentzian space form of curvature $c=-1,0,1$, and index $q=0,1$, satisfying the condition $~l_kx=ax+b$,~ where $l_k$ is the $textit{linearized operator}$ of the $(k+1)$-th mean curvature $h_{k+1}$ of the hypersurface for a fixed integer $0leq k

Let m, d and k be positive integers such that k ≤ me , where e = (m, d). Let p be an prime number and π a primitive element of Fpm . To each ~a = (a0, · · · , ak−1) ∈ F k pm , we associate the linearized polynomial f~a(x) = k−1 ∑ j=0 ajx p . And, to each f~a(x), we associated the sequence c~a = (f~a(1), f~a(π), · · · , f~a(π pm−2)). Let C = {c~a | ~a ∈ F k pm} be the cyclic code formed by the s...

This paper presents a set of linearized equations was derived for the motion, relative to an elliptical reference orbit, of an object influenced by J2 perturbation terms. Approximate solution for simulations was used to compare these equations and the linearized keplerian equations to the exact equations. The inclusion of the linearized perturbations in the derived equations increased the high ...

We study stability of N-soliton solutions of the FPU lattice equation. Solitary wave solutions of FPU cannot be characterized as a critical point of conservation laws due to the lack of infinitesimal invariance in the spatial variable. In place of standard variational arguments for Hamiltonian systems, we use an exponential stability property of the linearized FPU equation in a weighted space w...