On the properties of the fundamental dispersions of the equation
On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments
On the structure of the second-order periodic linear differential equations with the same characteristic multipliers
On the -dichotomy for homogeneous linear differential equations.
On unbounded nonoscillatory solutions of systems of neutral differential equations
On unbounded positive solutions of nonlinear differential equations with oscillating coefficients
On uniform exponential stability of periodic evolution operators in Banach spaces.
On -bounded solutions for non-homogeneous matrix Lyapunov systems on .
On -limit sets of nonautonomous differential equations
In this paper the -limit behaviour of trajectories of solutions of ordinary differential equations is studied by methods of an axiomatic theory of solution spaces. We prove, under very general assumptions, semi-invariance of -limit sets and a Poincar’e-Bendixon type theorem.
Orbits connecting singular points in the plane
This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed.
Orders of solutions of an -th order linear differential equation with entire coefficients.
Oscillation criteria for a class of nonlinear differential equations of third order
Oscillation criteria are obtained for nonlinear homogeneous third order differential equations of the form and y”’ + q(t)y’ + p(t)f(y) = 0, where p and q are real-valued continuous functions on [a,∞), f is a real-valued continuous function on (-∞, ∞) and α > 0 is a quotient of odd integers. Sign restrictions are imposed on p(t) and q(t). These results generalize some of the results obtained earlier in this direction.
Oscillation of odd order neutral delay differential equation
Oscillatory properties of a differential inclusion of order and the asymptotic equivalence
Periodic solutions for second order differential systems with damping
Periodic solutions for third order ordinary differential equations.
Positive decreasing solutions of systems of second order singular differential equations.
Positive solutions to second-order singular differential equations involving the one-dimensional -Laplace operator.
Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems
In this paper we consider positive unbounded solutions of second order quasilinear ordinary differential equations. Our objective is to determine the asymptotic forms of unbounded solutions. An application to exterior Dirichlet problems is also given.
Positivity of the Green functions for higher order ordinary differential equations.