On point-dissipative systems of differential equations with quadratic nonlinearity.
On Pontryagin-Rodygin's theorem for convergence of solutions of slow and fast systems.
On positive solutions of a class of second order nonlinear differential equations on the halfline
The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
On positive solutions of equations with two middle terms
On positive solutions of nonlinear retarded differential equations
On proper oscillatory and vanishing-at-infinity solutions of differential equations with a deviating argument.
On proper oscillatory solutions of the nonlinear differential equations of the -th order
On properties of derivatives of the basic central dispersion in an oscillatory equation with an almost periodic coefficient
On properties of oscillatory solutions of non-linear differential equations of the n-th order
On property (B) of higher order delay differential equations
In this paper we offer criteria for property (B) and additional asymptotic behavior of solutions of the -th order delay differential equations Obtained results essentially use new comparison theorems, that permit to reduce the problem of the oscillation of the n-th order equation to the the oscillation of a set of certain the first order equations. So that established comparison principles essentially simplify the examination of studied equations. Both cases and are discussed.
On quadratically integrable solutions of the second order linear equation
Integral criteria are established for and , where is the space of solutions of the equation satisfying the condition
On quasimonotone increasing systems of ordinary differential equations.
On rectifiable oscillation of Euler type second order linear differential equations.
On reducibility of linear quasiperiodic systems with bounded solutions.
On relations among dispersions of an oscillatory differential equation
On Second Order Functional Differential Equations and Inequalities with Deviating Arguments.
On second order sublinear oscillation.
On second-order differential equations with nonhomogeneous -Laplacian.
On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation.
On singular solutions of a second order differential equation.