O локализации собственных чисел одной спектральной задачи.
On a certain boundary value problem for a fourth-order iterated differential equation
On a certain modification of Sturm's comparison theorem
On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane
∗ Partially supported by Grant MM-428/94 of MESC.Systems of orthogonal polynomials on the real line play an important role in the theory of special functions [1]. They find applications in numerous problems of mathematical physics and classical analysis. It is known, that classical polynomials have a number of properties, which uniquely define them.
On a non-self adjoint eigenfunction expansion.
On a non-self adjoint expansion formula.
On a q-deformed harmonic oscillator with variable linear momentum.
On an example of phase-space tunneling
On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition.
On Bojarski's index formula for nonsmooth interfaces.
On convergence of orthogonal series of Bessel functions
On discreteness of spectrum of a functional differential operator
We study conditions of discreteness of spectrum of the functional-differential operator on . In the absence of the integral term this operator is a one-dimensional Schrödinger operator. In this paper we consider a symmetric operator with real spectrum. Conditions of discreteness are obtained in terms of the first eigenvalue of a truncated operator. We also obtain one simple condition for discreteness of spectrum.
On Floquet eigenvalue problems for first order differential systems in the complex domain.
On Hill's equation with a discontinuous coefficient.
On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem.
On nonresonance problems of second-order difference systems.
On numerical solution of multiparameter Sturm-Liouville spectral problems
The method proposed here has been devised for solution of the spectral problem for the Lamé wave equation (see [2]), but extended lately to more general problems. This method is based on the phase function concept or the Prüfer angle determined by the Prüfer transformation cotθ(x) = y'(x)/y(x), where y(x) is a solution of a second order self-adjoint o.d.e. The Prüfer angle θ(x) has some useful properties very often being referred to in theoretical research concerning both single- and multi-parameter...
On rational and periodic solutions of stationary KdV equations.
On sampling expansions of Kramer type.
On some applications of Bochner-Schoenberg-Eberlein type theorems