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On an Oscillation Criterion for a Second Order Linear Quasi‐Differential Equation
Author(s) -
O'Hara J. G.
Publication year - 1996
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/54.2.251
Subject(s) - oscillation (cell signaling) , mathematics , differential equation , order (exchange) , oscillation theory , mathematical analysis , linear differential equation , differential (mechanical device) , physics , exact differential equation , genetics , finance , economics , biology , thermodynamics
In this paper we give an oscillation criterion for the quasi‐differential equation ( py ′)′ + qy = 0. The results include a generalisation of an oscillation theorem of Hartman. We also give a necessary and sufficient condition for oscillation.