It is proved that for some semi-elliptic equations the solution can be obtained as the limit when ! 1, of the solution u of a boundary value problem in the generalised ball B ,μ. Also an estimatie at infinity for the ...

It is known that eigenfunctions of many elliptic operators such as Schr¨odinger operators decrease exponentially. It this paper we suggest a different idea of the proof of this fact. This idea is based on a special ...

In this paper we study the boundedness of the Hardy operator H_ in local and global Morrey-type spaces LMp_;w(_), GMp_;w(_) respectively, characterized by numerical parameters p; _ and a functional parameter w. We reduce ...

We obtain sufficient conditions for continuity of the eigenvalues of semibounded quasi-differential operators of order 2n on the half-axis with respect to the parameters that appear in the corresponding differential ...

Various type weighted norm estimates for one-sided maximal functions and potentials are established in variable exponent Lebesgue spaces Lp('\ In particular, sufficient conditions (in some cases necessary and sufficient ...

We make a comparative analysis of some recent one-dimensional Langevin models of the acceleration of a Lagrangian fluid particle in developed turbulent flow. The class of models characterized by random intensities of noises ...

In this paper we use the one-dimensional Schrödinger operator with a negative parameter to the study of the approximation numbers of a hyperbolic type singular operator. Estimates for the distribution function of the ...

In the paper the question about distribution of eigenvalues of third-order composite type equations with regular, more precisely, with periodic boundary value conditions is studied. After, applying the Fourier method, the ...