Premium
Forced oscillation of second order superlinear differential equations
Author(s) -
Gong Sun Yuan,
Wong James S. W.
Publication year - 2005
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.200410327
Subject(s) - mathematics , oscillation (cell signaling) , order (exchange) , nonlinear system , forced oscillation , mathematical analysis , differential equation , sign (mathematics) , mathematical physics , physics , quantum mechanics , economics , genetics , biology , finance
In this paper, we establish some new criteria for the oscillation of second order forced nonlinear differential equations ( r ( t ) x ′( t ))′ + p ( t ) x ′( t ) + q ( t ) f ( x ( t )) = e ( t ) in both cases when q ( t ) < 0 and q ( t ) changes its sign. Our results are sharper than those of Agarwal and Grace [1], Cakmak and Tiryaki [2], Ou and Wong [17] for the second order case. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)