|
|||||
|
|
Equivalency for Disconjugate Operators |
|
| Authors: | Mariella Cecchi Zuzana Do&#x;l Mauro Marini |
| Abstract: | The solutions of the dfferential equation Lnx + a0(t)x = 0, where Ln is a disconjugate operator and a0 is of one sign, are studied according to their behavior as t → ∞. We prove equivalence theorems between solutions of this equation and its adjoint in terms of property A and property B. These theorems generalize the results known for n = 3 and for odd order binomial equations. Some applications are given too. |
| Keywords: | Higher order linear differential equation asymptotic behavior oscillatory solution nonoscillatory solution |