Search Results - "Chernyavskaya, N. A."

Stability and absolute stability of a three-point difference scheme by Chernyavskaya, N.A.

“…Consider a three-point difference scheme − h −2 Δ (2) y n + q n ( h) y n = f n ( h), n ϵ Z = {0, ±1, ±2, …}, where h ϵ (0, h 0], h 0 is a given positive…”
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Regularity of the inversion problem for the Sturm-Liouville difference equation III. A criterion for regularity of the inversion problem by Chernyavskaya, N. A., Schiff, J., Shuster, L. A.

“…We consider a difference equation where h 0 is a fixed positive number, We obtain necessary and sufficient conditions under which assertions (I) and (II) hold…”
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Regularity of the inversion problem for the Sturm-Liouville difference equation IV. Stability conditions for a three-point difference scheme with non-negative coefficients by Chernyavskaya, N. A., Schiff, J., Shuster, L. A.

“…Consider a three-point difference scheme where is a given positive number, Assume that the sequence satisfies the a priori condition We obtain criteria for the…”
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Regularity of the Inversion Problem for the Sturm–Liouville Difference Equation: II. Two-Sided Estimates for the Diagonal Value of the Green Function by Chernyavskaya, N.A., Shuster, L.A.

“…This is the second part of a study of the inversion for a Sturm–Liouville difference equation. Our main result consists in getting two-sided (sharp by order)…”
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Regularity of the Inversion Problem for the Sturm–Liouville Difference Equation: I. Representation of the Davies–Harrell Type for the Green Difference Function by Chernyavskaya, N.A., Shuster, L.A.

“…This is the first part of a study of the inversion for a Sturm–Liouville difference equation. The main results of the paper are a special representation for…”
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Necessary and sufficient conditions for solvability of the Hartman-Wintner problem for difference equations by Chernyavskaya, N.A., Shuster, L.A.

“…The equation is viewed as a perturbation of the equation which does not oscillate at infinity. The sequences are assumed real, r n >0 for all n ≥ 0, the…”
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Reactions of dodecamethylcyclohexasilane and polydimethylsilane with metal chlorides by Chernyavskii, A.I., Larkin, D.Yu, Chernyavskaya, N.A.

“…The reactions of dodecamethylcyclohexasilane and high-molecular-weight polydimethylsilane with chlorides of I, II, IV–VI and VIII Group metals at high…”
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Correct solvability of the Sturm–Liouville equation with delayed argument by Chernyavskaya, N.A., Shuster, L.A.

“…We consider the equation(1)−y″(x)+q(x)y(x−φ(x))=f(x),x∈R where f∈C(R) and(2)0≤φ∈Cloc(R),1≤q∈Cloc(R). Here Cloc(R) is the set of functions continuous in every…”
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On the speed at which solutions of the Sturm–Liouville equation tend to zero by Chernyavskaya, N. A., Shuster, L. A.

“…We consider the equation 1 - y ′ ′ ( x ) + q ( x ) y ( x ) = f ( x ) , x ∈ R . For a fixed p ∈ [ 1 , ∞ ) and for a correctly solvable Eq. ( 1 ) in L p ( R ) ,…”
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Bifunctional decamethylcyclohexasilanes X2Si6Me10 (X = Cl, H, or OH): molecular and crystal structures and mesomorphic properties by Larkin, D. Yu, Korlyukov, A. A., Matukhina, E. V., Buzin, M. I., Chernyavskaya, N. A., Antipin, M. Yu, Chernyavskii, A. I.

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AN EMBEDDING THEOREM by CHERNYAVSKAYA, N. A., SHUSTER, L. A.

“…We consider a weighted space W 1 (2) (ℝ,q) of Sobolev type: ${\mathrm{W}}_{1}^{\left(2\right)}(\mathrm{\mathbb{R}},\mathrm{q})=\{\mathrm{y}\in…”
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Correct solvability, embedding theorems and separability for the Sturm–Liouville equation by Chernyavskaya, N. A., Shuster, L. A.

“…For p ∈ [ 1 , ∞ ) , f ∈ L p ( R ) and 0 ≤ q ∈ L 1 loc ( R ) , we show that the weighted function space S p ( 2 ) ( R , q ) = y ∈ A C loc ( 1 ) ( R ) : ‖ y ′ ′…”
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Synthesis and mass spectrometric study of α,ω-diallylpermethyloligosilanes by Larkin, D. Yu, Pleshkova, A. P., Kononova, E. G., Chernyavskaya, N. A., Chernyavskii, A. I.

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New cyclolinear permethyloligosilane-siloxanes by Chernyavskii, A.I, Chernyavskaya, N.A, Aleksinskaya, V.I, Zavin, B.G

“…α, ω-Bis(heptamethylcyclotetrasiloxanyloxy)oligodimethylsilanes have been synthesized by heterofunctional condensation of hydroxyheptamethylcyclotetrasiloxane…”
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Thermal and Thermal-Oxidation Stability of Permethylpolysilane-Siloxanes and Permethylpolyoxysilane by Chernyavskii, A. I., Larkin, D. Yu, Buzin, M. I., Kononova, E. G., Chernyavskaya, N. A.

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Davies–Harrell representations, Otelbaev's inequalities and properties of solutions of Riccati equations by Chernyavskaya, N.A., Shuster, L.A.

“…We consider an equation (1) y ″ ( x ) = q ( x ) y ( x ) , x ∈ R , under the following assumptions on q: (2) 0 ⩽ q ∈ L 1 loc ( R ) , ∫ − ∞ x q ( t ) d t > 0 , ∫…”
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Synthesis of new cyclolinear permethyloligosilane-siloxanes by Chernyavskaya, N. A., Aleksinskaya, V. I., Chernyavskii, A. I.

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ON THE ISSUE ABOUT LEVELS OF UNDERSTANDING OF A LITERARY TEXT by Chernyavskaya, N. A.

“…In the article the problem of plurality of interpretations of a literary text is investigated. The article develops new aspects of typology of understanding,…”
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Synthesis of methylvinylpolyfluoroalkoxysilanes by photoinitiated radical reaction of dialkoxy(methyl)vinylsilanes with perfluoro-4-methylpent-2-ene by Chernyavskaya, N. A., Kurykin, M. A.

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The structure and phase transitions of crystalline polydimethylsilane [Me2Si]n revisited by Bukalov, S. S., Leites, L. A., Aysin, R. R., Bushmarinov, I. S., Dmitrienko, A. O., Korlyukov, A. A., Buzin, M. I., Papkov, V. S., Chernyavskaya, N. A., Chernyavskii, A. I.

“…The results of vibrational spectroscopy and X-ray diffraction obtained at the present level of the methods confirm the planar trans ( all -A) conformation of…”
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