Comparison and oscillation theorems for second order differential equations
Two identities of the Picone type for a class of half-linear differential systems in the plane are established and the Sturmian comparison theory for such systems is developed with the help of these new formulas.
We are interested in comparing the oscillatory and asymptotic properties of the equations with those of the equations
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation are compared with those of the functional differential equation .
The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.