On oscillation criteria for self-adjoint linear differential equation of the fourth order
The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives.
The paper deals with the oscillation of a differential equation as well as with the structure of its fundamental system of solutions.
The zeros of the solution of the differential equation are investigated when , and has some monotonicity properties as . The notion is introduced also for real, too. We are particularly interested in solutions which are “close" to the functions , when is large. We derive a formula for and apply the result to Bessel differential equation, where we introduce new pair of linearly independent solutions replacing the usual pair , . We show the concavity of for and also...