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

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math.CA2008

A criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation

N. A. Chernyavskaya, L. A. Shuster

We give criteria for correct solvability in L_p(R) of a general Sturm-Liouville equation

math.CA2007★ 1 cited

Necessary and sufficient conditions for solvability of the Hartman-Wintner problem for difference equations

N. A. Chernyavskaya, L. A. Shuster

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 ten…

math.CA2006

Davies-Harrell Representations, Otelbaev's Inequalities

N. A. Chernyavskaya, L. A. Shuster

We find an asymptotics on the diagonal of the Green function of a Sturm-Liouville operator and give its applications for Riccati equation.

math.CA2005

Conditions for Correct Solvability of a Simplest Singular Boundary Value Problem of General Form

N. Chernyavskaya, L. Shuster

In this paper the simplest singular boundary problem of Dirichlet type for linear differential equation of the first order of general form is considered. The main result of this pa…