The authors investigate the limit-point and limit-circle properties of solutions of the delay differential equation a(t)|y ' | p-1 y ' ' + r(t) y ϕ(t) λ sgn y ϕ(t) = 0 where p >= λ >= 1, a(t) \> 0, r(t) \> 0, ϕ(t) <= t on R+, and limt{\textrightarrow}$\infty$ ϕ(t) = $\infty$. The results generalize these properties for ordinary (non-delay) differential equations that were initiated by Hermann Weyl one hundred years ago for linear equations.

}, keywords = {34B20, 34C11, 34C15, 34D05, 34K11, 34K12}, issn = {1056-2176}, url = {https://acadsol.eu/dsa/articles/20/18-DSA-31-16.pdf}, author = {M. BARTUSEK and John R. Graef} }