TY - JOUR
T1 - On the critical case in oscillation for differential equations with a single delay and with several delays
AU - Berezansky, Leonid
AU - Baštinec, Jaromír
AU - Diblík, Josef
AU - Šmarda, Zdeněk
PY - 2010/11/22
Y1 - 2010/11/22
N2 - New nonoscillation and oscillation criteria are derived for scalar delay differential equations x(t)+a(t)x(h(t))=0,a(t)≥0,h(t)≤t,t≥ t 0, and x(t)+ Σk=1m ak(t)x(hk(t))=0, ak(t)≥0, hk(t)≤t, and t≥ t 0, in the critical case including equations with several unbounded delays, without the usual assumption that the parameters a, h, ak, and hk of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.
AB - New nonoscillation and oscillation criteria are derived for scalar delay differential equations x(t)+a(t)x(h(t))=0,a(t)≥0,h(t)≤t,t≥ t 0, and x(t)+ Σk=1m ak(t)x(hk(t))=0, ak(t)≥0, hk(t)≤t, and t≥ t 0, in the critical case including equations with several unbounded delays, without the usual assumption that the parameters a, h, ak, and hk of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.
UR - http://www.scopus.com/inward/record.url?scp=78349284427&partnerID=8YFLogxK
U2 - 10.1155/2010/417869
DO - 10.1155/2010/417869
M3 - Article
AN - SCOPUS:78349284427
SN - 1085-3375
VL - 2010
JO - Abstract and Applied Analysis
JF - Abstract and Applied Analysis
M1 - 417869
ER -