On point-dissipative systems of differential equations with quadratic nonlinearity.
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 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 reducibility of linear quasiperiodic systems with bounded solutions.
On Second Order Functional Differential Equations and Inequalities with Deviating Arguments.
On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation.
On singular solutions of a second order differential equation.
On Slowly Varying Solutions Of The Linear Second Order Differential Equation
On Solutions of a Differential Equation which are not of Integrable Square.
On stability and boundedness of solutions of a certain fourth-order delay differential equation.
On stability of solutions to linear systems with periodic coefficients.
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.
On the asymptotic behavior of solutions of certain third-order nonlinear differential equations.
On the asymptotic behavior of solutions of nonlinear ordinary differential equations
On the boundedness and oscillation of solutions to .
On the boundedness and periodicity of solutions of second-order functional differential equations with a parameter
On the boundedness and the stability results for the solutions of certain third order non-linear differential equations
On the boundedness of solutions of a certain fourth-order nonlinear differential equation