Periodic solutions of abstract difference equations.
Norm estimates for functions of two commuting matrices.
Spectrum of infinite block matrices and -triangular operators.
Norm estimates for functions of two non-commuting matrices.
Stability of solutions for nonlinear nonautonomous differential-delay equations in Hilbert spaces.
On the “freezing” method for nonlinear nonautonomous systems with delay.
Stability of delay differential equations with oscillating coefficients.
Perturbations of functions of diagonalizable matrices.
Estimates for absolute values of matrix functions.
Positive solutions to a semilinear higher-order ODE on the half-line.
A bound for the spectral variation of two matrices.
Liapunov exponents for higher-order linear differential equations whose characteristic equations have variable real roots.
Positivity of the Green functions for higher order ordinary differential equations.
Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities
Mathematics Subject Classification: 47A56, 47A57,47A63 We derive bounds for the norms of the fractional powers of operators with compact Hermitian components, and operators having compact inverses in a separable Hilbert space. Moreover, for these operators, as well as for dissipative operators, the constants in the moment inequalities are established. * This research was supported by the Kamea Fund of Israel.
Stability of a time discrete perturbed dynamical systems with delay.
Solution estimates for semilinear difference-delay equations with continuous time.
Nonlinear Volterra difference equations in space .
Abstract difference equations with nonlinearities having the local Lipschitz properties.
Positivity conditions and bounds for Green’s functions for higher order two-point BVP
We consider a linear nonautonomous higher order ordinary differential equation and establish the positivity conditions and two-sided bounds for Green’s function for the two-point boundary value problem. Applications of the obtained results to nonlinear equations are also discussed.
Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space
We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.
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