Sublinear perturbations of the differential equation y(n) = 0 and of the analogous difference equation |
| |
Authors: | Attila Máté Paul Nevai |
| |
Institution: | Department of Mathematics, Brooklyn College of CUNY, Brooklyn, New York 11210 U.S.A.;Department of Mathematics, Ohio State University, Columbus, Ohio 43210 U.S.A. |
| |
Abstract: | According to a result of A. Ghizzetti, for any solution y(t) of the differential equation where , (0 ?i ? n ?1, either y(t) = 0 for t ? 1 or there is an integer r with 0 ? r ? n ? 1 such that exists and ≠0. Related results are obtained for difference and differential inequalities. A special case of the former has interesting applications in the study of orthogonal polynomials. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|