Open AccessSome oscillation criteria for second-order delay dynamic equations
Author(s) -
Raegan Higgins
Publication year - 2010
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm100425018h
Subject(s) - oscillation (cell signaling) , mathematics , dynamic equation , delay differential equation , order (exchange) , differential equation , mathematical analysis , nonlinear system , physics , genetics , finance , quantum mechanics , economics , biology
We investigate the oscillation of second-order delay dynamicequations. Our results extend and improve known results foroscillation of second-order differential equations that have beenestablished by extsc{Erbe} [Canad. Math. Bull. extbf{16} (1973), 49--56]. We apply results from the theory of upper and lower solutions and give some examples to illustrate the main results