On a class of univalent functions defined by Sălăgean differential operator.
On an even order neutral differential inequality.
On oscillatory solutions of differential inequalities
On some functions which verify differential inequalities
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 structure of solutions of a system of four differential inequalities.
On systems of linear generalized ordinary differential and integral inequalities.
On the structure of solutions of a system of three differential inequalities
The aim of this paper is to study the global structure of solutions of three differential inequalities with respect to their zeros. New information for the differential equation of the third order with quasiderivatives is obtained, too.
Opial inequalities on time scales
We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.
Opial's type inequalities on time scales and some applications
We prove some new Opial type inequalities on time scales and employ them to prove several results related to the spacing between consecutive zeros of a solution or between a zero of a solution and a zero of its derivative for second order dynamic equations on time scales. We also apply these inequalities to obtain a lower bound for the smallest eigenvalue of a Sturm-Liouville eigenvalue problem on time scales. The results contain as special cases some results obtained for second order differential...
Ordinary differential equations with nonlinear boundary conditions.
Oscillation in neutral partial functional-differential equations and inequalities.
Oscillation theorems for second order nonlinear delay inequalities
Oscillations of all solutions of functional differential inequalities
Oscillatory properties of solutions of second order nonlinear neutral differential inequalities with oscillating coefficients
This paper deals with the second order nonlinear neutral differential inequalities :