Publications:- N.Chernyavskaya, J.Schiff and L.Shuster. A priori analysis of initial date for the Ricatti equation and asymptotic properties of its solutions Bull. London Math. Soc. 41: 723-732 (2009)
- N.Chernyavskaya and L.Shuster. A criterion for correct solvability in L_p(R) of a general Sturm-Liouville equation J. London Math. Soc. 80 (2): 99-120 (2009)
- N.Chernyavskaya and L.Shuster. Necessary and sufficient conditions for
solvability of a problem of Hartman and Wintner for difference equations J. Difference Eq. and Appl. 14 (2): 1215-1254 (2008)
- N.Chernyavskaya and L.Shuster. Sharp by order estimates of solutions
of a simplest singular boundary value problem Math. Nachrichten 281 (2): 160-170 (2008)
- N.Chernyavskaya and L.Shuster. Conditions for correct solvability of a simplest singular boundary
value problem of a general form. II Zeitschrift fur Analysis
und ihre Anwendungen 26: 439-458 (2007)
- N.Chernyavskaya and L.Shuster. An asymptotic majorant for the solution of
the Sturm-Liouville equation Proc. of the Royal Soc. of Edinburgh 50: 87-114 (2007)
- N.Chernyavskaya and L.Shuster. Davies-Harrell representations, Otelbaev''s
inequalities and properties of solutions of Riccati equations J.Math. Anal. and Appl. 334: 998-1021 (2007)
- N.Chernyavskaya and L.Shuster. Conditions for correct solvability of a simplest singular boundary
value problem of a general form. I Zeitschrift fur Analysis
und ihre Anwendungen 25: 205-235 (2006)
- N.Chernyavskaya, J.Schiff and L.Shuster. Regularity of the inversion problem for the Sturm-Liouville difference
equation. IV. Stability conditions for a three-point difference scheme
with non-negative coefficients J.of Difference Eq. and Appl. 11 (6): 487-501 (2005)
- N.Chernyavskaya, J.Schiff and L.Shuster. Regularity of the inversion problem for the Sturm-Liouville difference
equation. III. Criterion for regularity of the inversion problem J. of Difference Eq. and Appl. 11 (3): 245-260 (2005)
- N.Chernyavskaya and L.Shuster. Conditions for solvability of the Hartman-Wintner problem in terms of
coefficients Proc. of Edinburgh Math. Soc. 46: 687-702 (2003)
- N.Chernyavskaya. On stability and absolute stability of three-point
difference scheme Computers and Mathematics with Applications 45: 1181-1194 (2003)
- N.Chernyavskaya and L.Shuster. On $ (p,s)- $ regularity of the
inversion problem for the Sturm-Liouville equation "Advances in Mathematics Research" : (2002)
- N.Chernyavskaya
. Conditions for correct solvability of a
simplest singular boundary value problem Mathematishe
Nachrichten 243: 5-18 (2002)
- N.Chernyavskaya and L.Shuster. Classification of initial data for the Ric
cati
equation Bollettino della Unione Matematica Italiana 5-B (8): 511 -525. (2002)
- N.Chernyavskaya and L.Shuster. A criterion for correct solvability of the
Sturm-Liouville equation in the space $ L_p(R) $ Proc. of
Amer. Math. Soc. 130: 1043-1054 (2001)
- N.Chernyavskaya and L.Shuster. Regularity of the inversion problem for the Sturm-Liouville difference
equation. II. Two sided estimates for the diagonal value of the Green
function J. of Math. Anal. and Appl. 254: 371-384 (2001)
- N.Chernyavskaya and L.Shuster. Compactness conditions for the Green
operator in $ L_p(R) $ corresponding to a general Sturm -
Liouville operator Mathematishe Nachrichten 215: 33-53 (2000)
- N.Chernyavskaya and L.Shuster. Regularity of the inversion problem
for a Sturm - Liouville equation in $ L_p $,
Methods and Applications of Analysis 7 (1): 65-84 (2000)
- N. Chernyavskaya and L. Shuster. Asymptotics on diagonal of the Green
function of a Sturm-Liouville operator and
its applications J. of London Math. Soc. 61 (2): 506-530 (2000)
- N.Chernyavskaya and L.Shuster. Regularity of the inversion problem for the
Sturm-Liouville difference equation. I. Representation of the
Davies-Harrell type for the Green difference function J. of Math. Anal. and Appl.
246: 150-163 (2000)
- N.Chernyavskaya and L.Shuster. Solvability in $ L_p $ of the Neumann probl
em
for a singular nonhomogeneous Sturm-Liouville equation Mathematika 46: 453-470 (1999)
- N.Chernyavskaya and L.Shuster. Estimates for the Green function
of a general Sturm-Liouville operator and their applications Proc. of Amer. Math. Soc. 127: 1413-1426 (1999)
- N.Chernyavskaya and L.Shuster. Weight summability of solutions of the
Sturm - Liouville equation Journal of Differential Equations 151: 456-473 (1999)
- N.Chernyavskaya and L.Shuster. Solvability in $ L_p $ of the Dirichlet pr
oblem
for a singular nonhomogeneous Sturm-Liouville equation Methods and Applications in Analysis 5 (3): 259-272 (1998)
- N. Chernyavskaya. On a problem of Hartman and Wintner Proc. of the Royal Soc. of Edinburgh 128A: 1007-1022 (1998)
- N.Chernyavskaya and L.Shuster. Necessary and sufficient
conditions for the solvability
of a problem of Hartman and Wintner Proc.
of Amer. Math. Soc. 125: 3213-3228 (1997)
- N. Chernyavskaya and L. Shuster. Estimates for
Green''s function of the Sturm-Liouville operator Journal of Differential Equations 111: 410-420 (1994)
- N. Chernyavskaya and L. Shuster. On a representation
of a fundamental system of solutions for the Sturm-
Liouville equation and its applications ``Trends
and Developments of Ordinary Differential Equations''''
(Edited by : 27-36 (1994)
- N. Chernyavskaya and L. Shuster. Asymptotic
equivalence of fundamental systems of solutions for
Sturm-Liouville equations. Differential
Equations. Equadiff-91'''' (Edited by C.Perello,
C.Simo, J.Sola 1: 393-397 (1993)
- N. Chernyavskaya and L. Shuster. On a representation
of the solutions of a Sturm-Liouville equation and
its applications Diff. Uravnenija 28, 3: 537-540 (1992)
- V.V. Veselov, N. Chernyavskaya and L. Shuster. The experience in the construction of logical
structure of the modelling process Appendix in the book:
"Hydro-geology and the protection of the
environment" : (1992)
- N. Chernyavskaya . Properties of the resolvents
for first and second order differential
operators and their applications 4223-B91: 1-37 (1991)
- N. Chernyavskaya and L. Shuster. The WKB-method from
the perturbation theory viewpoint Operator Theory:
Advances and Applications 46: 119-123 (1990)
- N. Chernyavskaya. Towards the JWKB-method Mathematical modeling in physical and technical
% problems : 64-66 (1989)
- N. Chernyavskaya and L. Shuster. On the WKB-method Diff. Uravnenija 25, 10: 1826-1829 (1989)
- N. Chernyavskaya and L. Shuster. On asymptotics
of solutions of a homogeneous Sturm-Liouville
equation Izvestija Akad. Nauk Kazakh. SSR 5: 13-17 (1988)
- N.Chernyavskaya. On $n$-widths of embedding of the
weight functional space $H_{p,1,1}(R_+)$ in $L_p(R_+)$,
Theory of functions, mathematical physics and their
applications Theory of functions, mathematical physics and their
applications 1: 74-78 (1987)
- N. Chernyavskaya. Embedding theorems and $n$-widths
of a class of functions on the halfaxis 570-B86: 1-13 (1986)
- N.Chernyavskaya and A. Nersesyan. On the
inversion of integral operators with almost
difference kernel Dokl. Akad. Nauk. Armiansk. SSR 79, 1: 10-14 (1984)
- N.Derfel (N.Chernyavskaya). On coverings of finite multiplicity
Theory of functions,functional analysis and their applications, 34: 46-52 (1980)
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