L. Shuster

activity

20052022

most citedTime Will Change Things: An Empirical Study on Dynamic Language Understanding in Social Media Classification

1 citations · 3 across the 11 of their papers we have counts for

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10 papers · 1 filter

math.CA2016

Admissible Spaces for the Sturm-Liouville Equation

N. A. Chernyavskaya, L. A. Shuster

We consider the equation \begin{equation} -y''(x)+q(x)y(x)=f(x),\quad x\in \mathbb R \end{equation} where $f \in L_{p}^{l oc} (R),$ $p \in [1, \infty)$ and $ 0 < q \in L_1^{lo…

math.CA2015

Correct Solvability of the Sturm-Liouville Equation with Delayed Argument

N. A. Chernyavskaya, L. A. Shuster

We obtain sufficient conditions for correct solvability of Sturm-Liouville Equation with Delayed Argument on the whole axis.

math.CA2014

Admissible pair of spaces for not correctly solvable linear differential equations

N. Chernyavskaya, L. Dorel, L. Shuster

We consider the differential equation \begin{align}\label{ab} -y'(x)+q(x)y(x)=f(x), \quad x \in \mathbb R, \end{align} where $f \in L_{p} (R)$ , $p \in [1, \infty)$ , and $0\leq…

math.CA2013

Correct Solvability, Embedding Theorems and Separability for the Sturm-Liouville Equation

N. A. Chernyavskaya, L. A. Shuster

We consider the equation - y"(x)+q(x)y(x)=f(x), x\in R and the weighted function space S_p^{(2)}(R,q)=\{y\in AC_{\loc}^{(1)}(R):\|y"-qy\|_p+\|q^{1/p}y\|_p<\infty\}; p\in[1,\infty),…

math.CA2009

A criterion for compactness in L_p(R) of the resolvent of the maximal Sturm-Leovuile operator of general form

N. A. Chernyavskaya, L. A. Shuster

We obtain a criterion for compactness in Lp (R) of the resolvent of the maximal Sturm-Liouville operator of general form.

math.CA2008

A criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation

N. A. Chernyavskaya, L. A. Shuster

We give criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation