On rectifiable oscillation of Euler type second order linear differential equations.
We investigate two boundary value problems for the second order differential equation with -Laplacian where , are continuous positive functions on . We give necessary and sufficient conditions which guarantee the existence of a unique (or at least one) positive solution, satisfying one of the following two boundary conditions:
In the paper it is shown that each solution ot the initial value problem (2), (3) has a finite limit for , and an asymptotic formula for the nontrivial solution tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions , .