Search Results - "Shuster, L.A."

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…”
Get full text

Correct solvability of a general differential equation of the first order in the space $L_p(\mathbb{R}) by Chernyavskaya, N., Shuster, L.A.

Get full text

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 , ∫…”
Get full text

Regularity of the Inversion Problem for the Sturm–Liouville Difference Equation by Chernyavskaya, N.A., Shuster, L.A.

Get full text

Regularity of the Inversion Problem for the Sturm–Liouville Difference Equation by Chernyavskaya, N.A., Shuster, L.A.

Get full text

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…”
Get full text

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)…”
Get full text

Estimates of Eigenfunctions and Localization of the Spectrum of Differential Operators by Shuster, L.A

“…We consider a differential equation with parameter λ,(−1)ny(2n)λ(x)+σk=02n−2qk(x)y(k)λ(x)=λyλ(x),x∈[−1,1],where λ∈G={λ∈C: |λ|≥1},qk(x)∈L1(− 1,1), andk=0,2n−2…”
Get full text

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…”
Get full text