On the weakly almost periodic solutions of certain abstract differential equations
On the zeros of a function related to Bessel functions
On The Zeros Of Oscillatory Solutions Of Linear Second-Order Differential Equations
On the zeros of solutions of nonhomogeneous third order differential equations
On the -dichotomy for homogeneous linear differential equations.
On transformations of bundles of solutions of a fourth order iterated linear differential equation
On transformations of differential equations and systems with deviating argument
On transformations of self-adjoint linear differential systems and their reciprocals
On transformations of self-adjoint linear differential systems
On transformations of singular quadratic functionals corresponding to equation
On transformations of two homogeneous linear second order differential equations of a general and of Sturm forms
On two-dimensional linear spaces of continuous functions of the same character
On unbounded nonoscillatory solutions of systems of neutral differential equations
On unbounded positive solutions of nonlinear differential equations with oscillating coefficients
On unbounded solutions for differential equations with mean curvature operator
We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.
On uniform exponential stability of periodic evolution operators in Banach spaces.
On unstable neutral differential equations of the second order
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equation to be oscillatory and to improve some existing results. The main results are based on the comparison principles.
On using curvature to demonstrate stability.
On vanishing at infinity of solutions of ordinary differential equations
On zeros of solutions of the differential equation