activity
20052022
most citedNecessary and sufficient conditions for solvability of the Hartman-Wintner problem for difference equations

1 citations · 3 across the 10 of their papers we have counts for

collaborators

10 papers

cs.CL2022★ 1 cited

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

Yuji Zhang, Jing Li

Language features are ever-evolving in the real-world social media environment. Many trained models in natural language understanding (NLU), ineffective in semantic inference for u…

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 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 , , 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.