Zobrazeno 1 - 10
of 554
pro vyhledávání: '"Shuster, L."'
Autor:
Chernyavskaya, N., Shuster, L.
We study the problem of correct solvability in the space $L_p(\mathbb R),$ $p\in[1,\infty)$ of the equation $$ -(r(x) y'(x))'+q(x)y(x)=f(x),\quad x\in \mathbb R $$ under the conditions $$r>0,\quad q\ge 0,\quad \frac{1}{r}\in L_1(\mathbb R),\quad q\in
Externí odkaz:
http://arxiv.org/abs/2210.02911
Autor:
Chernyavskaya, N., Shuster, L.
Publikováno v:
Bollettino dell'Unione Matematica Italiana; Sep2024, Vol. 17 Issue 3, p589-612, 24p
Autor:
Chernyavskaya, N. A., Shuster, L. A.
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^{loc}(\mathbb R),$ $p \in [1,\infty) $ and $ 0 < q \in L_1^{loc}(\mathbb R).$ By a solution of this equation we mean any function $
Externí odkaz:
http://arxiv.org/abs/1607.04797
Autor:
Chernyavskaya, N. A., Shuster, L. A.
We obtain sufficient conditions for correct solvability of Sturm-Liouville Equation with Delayed Argument on the whole axis.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1509.06641
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 $f \in L_{p}(\mathbb R)$, $p\in [1,\infty)$, and $0\leq q \in L_{1}^{\rm loc}(\mathbb R)$, $\int\limits_{-\infty}^{0}q(t)\,dt
Externí odkaz:
http://arxiv.org/abs/1409.7823
Autor:
Chernyavskaya, N. A., Shuster, L. A.
We consider the equation - y"(x)+q(x)y(x)=f(x), x\in R and the weighted function space S_p^{(2)}(R,q)=\{y\in AC_{\loc}^{(1)}(R):\|y"-qy\|_p+\|q^{1/p}y\|_p<\infty\}; p\in[1,\infty), f\in L_p(R)$ and $0\le q\in L_1^{\loc}(R)$. We show that there exists
Externí odkaz:
http://arxiv.org/abs/1307.5611
Autor:
Chernyavskaya, N. A., Shuster, L. A.
We obtain a criterion for compactness in Lp (R) of the resolvent of the maximal Sturm-Liouville operator of general form.
Comment: 38 pages
Comment: 38 pages
Externí odkaz:
http://arxiv.org/abs/0912.0359
Autor:
Chernyavskaya, N. A., Shuster, L. A.
We give criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation
Externí odkaz:
http://arxiv.org/abs/0803.0800
Autor:
Chernyavskaya, N. A., Shuster, L. A.
For homogeneous difference equation of the second order we study the analogy of Hartman-Wintner problem on asymptotic integration of fundamental system of solutions as argument tends to infinity.
Externí odkaz:
http://arxiv.org/abs/0705.3014
Autor:
Lukachev, M., Shuster, L.
We find a criterion for correct solvability in L_p(R) of a linear differential equation of a first order with non-negative locally integrated coefficient and study the asymptotic properties of its solutions.
Comment: Some improvements. The defin
Comment: Some improvements. The defin
Externí odkaz:
http://arxiv.org/abs/math/0609752