Linear Ordinary Differential Operators of the Second Order (Classic Reprint)
Liczba stron: 56
Wydanie: 2018 r.
Excerpt from Linear Ordinary Differential Operators of the Second Order<br><br>A precise meaning will be assigned to the operator (l) in section two for the case when q(x) is real valued, and this will later (section four) be extended to complex q(x). For real q(x) two situations arise depending on the function q(x). In the limit point case there is only one possible interpretation for L and that is independent of a/b L is self-adjoint with a real spectrum. In the limit circle case, L has a pure point Spectrum which lies in the upper half-plane for Im [cl/b] 0 and in the lower half-plane for Im [cc/b] 0. We show by example that in this case the spectrum need not be confined to a strip parallel to the real axis.<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.