Oscillation in neutral equations with an ?integrally small? coefficient

• Main Authors: J. S. Yu, Ming-Po Chen
• Format: Article
• Language: English
• Published: Hindawi Limited 1994-01-01
• Series: International Journal of Mathematics and Mathematical Sciences
• Subjects: neutral equations; “integrally small” coefficient; oscillation.
• Online Access: http://dx.doi.org/10.1155/S0161171294000505
• ISSN: 0161-1712; 1687-0425

Consider the neutral delay differential equationddt[x(t)-P(t)x(t-t)]+Q(t)x(t-d)=0,???t=t0(*)Where P, Q?C([t0,8],R+), t?(0,8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction ?t08Q(s)ds=8.