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Leighton Type Oscillation Criterion and Sturm Type Comparison Theorem
Author(s) -
Yu Y. H.
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911530114
Subject(s) - mathematics , type (biology) , oscillation (cell signaling) , transformation (genetics) , comparison theorem , mathematical analysis , pure mathematics , gene , ecology , biochemistry , chemistry , genetics , biology
In this paper, we present a LEIGHTON type oscillation criterion and a STURM type comparison theorem. These results are obtained by using a generalized RICCATI transformation and can be applied in some cases in which classical oscillation results are not applicable.