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In this section we establish necessary and sufficient conditions for the validity of the trace inequality for the Riemann–Liouville and Weyl operators... In order to show

Wang , Oscillation and nonoscillation theorems for a class of second order quasilinear functional differential equations, Hiroshima Math.. Yeh , An oscillation criterion for

Second order nonlinear ordinary differential equation, impulse, periodic solution, lower function, upper function.. , m, are continuous functions

The oscillation results not only unify the oscillation results of differential and difference equations but also involve the oscillation conditions for different types of equations

Tiryaki, Oscillation theorems for nonlinear second order differential equations with damping, Acta Math.. Butler, Integral averages and the oscillation of second order

In contrast with the stability of these equations, there are no absolute (delay- independent) oscillation criteria for first order delay differential equations.. Although

Rynne, Bifurcation from Zero or Infinity in Sturm-Liouville Problems Which Are Not Linearizable, Journal of Mathematical Analysis and Applications , 228, 141-156 (1998).

The main purpose of this paper is to consider the oscillation theory on meromorphic solutions of second order linear differential equations of the form f ′′ + A(z)f = 0 where A