On some semilinear Volterra diffusion equations arising in ecology
On some singular boundary value problems for ordinary differential equations
On some stability problems
On some three-point problems for third-order differential equations
This paper is concerned with existence and uniqueness of solutions of the three-point problem . The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions.
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
On some two-point boundary value problems for two-dimensional systems of ordinary differential equations.
On spectral measures of strings and excursions of quasi-diffusions
On spectral problems of discrete Schrödinger operators
A special type of Jacobi matrices, discrete Schrödinger operators, is found to play an important role in quantum physics. In this paper, we show that given the spectrum of a discrete Schrödinger operator and the spectrum of the operator obtained by deleting the first row and the first column of it can determine the discrete Schrödinger operator uniquely, even though one eigenvalue of the latter is missing. Moreover, we find the forms of the discrete Schrödinger operators when their smallest and...
On splitting solutions of a certain -th order differential equation
On squares of Hermite polynomials.
On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission.
On stability and boundedness of solutions of a certain fourth-order delay differential equation.
On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order
On stability and oscillation of equations with a distributed delay which can be reduced to difference equations.
On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations
The authors establish some new sufficient conditions under which all solutions of a certain class of nonlinear neutral delay differential equations of the third order are stable, bounded, and square integrable. Illustrative examples are given to demonstrate the main results.
On stability for time-periodic perturbations of harmonic oscillators
On Stability in Impulsive Dynamical Systems
Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
On stability of linear delay differential equations under Perron's condition.
On stability of linear neutral differential equations with variable delays
We present a review of known stability tests and new explicit exponential stability conditions for the linear scalar neutral equation with two delays where and for its generalizations, including equations with more than two delays, integro-differential equations and equations with a distributed delay.
On stability of solutions to linear systems with periodic coefficients.