On the Branching of Solutions of Quadratic Differential Equations.
On the canonical development of Parseval formulas for singular differential operators
Per funzioni opportune si ottiene una formula di Parseval per operatori differenziali singolari di tipo dell'operatore radiale di Laplace-Beltrami. è una funzione spettrale generalizzata di tipo Marčenko e può essere rappresentata per mezzo di un certo nucleo della trasmutazione.
On the differential operators with periodic matrix coefficients.
On the domain of selfadjoint extension of the product of Sturm-Liouville differential operators.
On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback
We study the dynamic behavior and stability of two connected Rayleigh beams that are subject to, in addition to two sensors and two actuators applied at the joint point, one of the actuators also specially distributed along the beams. We show that with the distributed control employed, there is a set of generalized eigenfunctions of the closed-loop system, which forms a Riesz basis with parenthesis for the state space. Then both the spectrum-determined growth condition and exponential stability...
On the existence of continuous solutions of operator equations in Banach spaces
On the genericity of nonvanishing instability intervals in periodic Dirac systems
On the -boundedness of solutions for products of quasi-integro differential equations.
On the solvability of a fourth order operator differential equations.
On the solvability of the Lyapunov equation for nonselfadjoint differential operators of order 2m with nonlocal boundary conditions
This paper is devoted to the solvability of the Lyapunov equation A*U + UA = I, where A is a given nonselfadjoint differential operator of order 2m with nonlocal boundary conditions, A* is its adjoint, I is the identity operator and U is the selfadjoint operator to be found. We assume that the spectra of A* and -A are disjoint. Under this restriction we prove the existence and uniqueness of the solution of the Lyapunov equation in the class of bounded operators.
On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.
On the Spectral Kernel of Symmetric Extensions.
On the spectrum of non-selfadjoint differential operators.
On two-dimensional finite-gap potential Schrödinger and Dirac operators with singular spectral curves.
On uniform convergence of spectral expansions arising by self-adjoint extensions of an one-dimensional Schrödinger operator.
On weighted positivity of ordinary differential operators.
One-dimensional Schrödinger operators with local point interactions.
Optimal order of convergence for stable evaluation of differential operators.
Oscillation of a forced nonlinear differential equation
Paley-Wiener theorems for the Schrodinger operator on
In this paper we define and study generalized Fourier transforms associated with some class of Schrodinger operators on . Next, we establish Paley-Wiener type theorems which characterize some functional spaces by their generalized Fourier transforms.