On the solvability of the weighted initial value problem for high-order evolution singular functional-differential equations.
On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.
On the spectrum of a discrete non-Hermitian quantum system.
On the spectrum of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument.
On the spectrum of non-selfadjoint differential operators.
On the spectrum of the operator which is a composition of integration and substitution
Let ϕ: [0,1] → [0,1] be a nondecreasing continuous function such that ϕ(x) > x for all x ∈ (0,1). Let the operator be defined on L₂[0,1]. We prove that has a finite number of nonzero eigenvalues if and only if ϕ(0) > 0 and ϕ(1-ε) = 1 for some 0 < ε < 1. Also, we show that the spectral trace of the operator always equals 1.
On the spectrum of weakly almost periodic solutions of certain abstract differential equations.
On the stability analysis of Darboux problem on both bounded and unbounded domains
In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.
On the stability of a fractional-order differential equation with nonlocal initial condition.
On the stability of convex symmetric polytopes of matrices.
On the ...-stability of functional differential equations.
On the stability of infinite-dimensional linear stochastic systems
On the stability of neutral-type uncertain systems with multiple time delays
The problems of both single and multiple delays for neutral-type uncertain systems are considered. First, for single neutral time delay systems, based on a Razumikhin-type theorem, some delay-dependent stability criteria are derived in terms of the Lyapunov equation for various classes of model transformation and decomposition techniques. Second, robust control for neutral systems with multiple time delays is considered. Finally, we demonstrate numerical examples to illustrate the effectiveness...
On the stability of second order differential equations
On the stability of solutions of a multipoint boundary value problem for a system of generalized ordinary differential equations.
On the stability of solutions of certain systems of differential equations with piecewise constant argument
We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.
On the stability of solutions of linear boundary value problems for a system of ordinary differential equations.
On the stability of solutions of linear differential systems with slowly varying coefficients
On the stability of solutions of nonlinear boundary value problems for systems of generalized ordinary differential equations.
On the stability of solutions to a class of nonlinear difference systems.