On some classes of linear equations.
On some classes of linear equations, II.
On Some Classes Of Linear Equations III
On some classes of linear equations. IV.
On some classes of linear equations. V.
On some continuities of phases theory and WKB method for linear differential equation of the second order
On some differential and integro-differential equations associated with Jaocobi's differential equation.
On some functions which verify differential inequalities
On some non-local problems of the theory of elasticity.
On some problems in the oscillation theory of self-adjoint linear differential equations
On some properties of functions relative to the classes of certain factor spaces
On some properties of solutions of the disconjugate equation with an almost periodic coefficient
On some properties of solutions of the second order linear differential equations with periodic coefficients having a common oneparametric continuous group of dispersions
On some properties of the solution of the differential equation
In the paper it is shown that each solution ot the initial value problem (2), (3) has a finite limit for , and an asymptotic formula for the nontrivial solution tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions , .
On some properties of the solutions of the third order nonlinear differential equations with delay
On splitting solutions of a certain -th order differential equation
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 solutions to linear systems with periodic coefficients.
On stability properties of solutions of second order differential equations.
On strongly monotone flows
M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.