Özkan ÖCALAN, Başak KARPUZ, Mustafa Kemal YILDIZ

5791

Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients

Some oscillation criteria for the following second-order neutral differential equation [x(t)\pm r(t) f( x(t-g))]''+p(t) g(x(t-a)) -q(t) g(x(t-b )) = s(t) where t\geq t0, g,a,b \in R+ with a \geq b, r \in C2([t0,\infty ), R+) , p,q\in C([t0,\infty ),R+) and f,g\in C(R,R), s\in C([ t0,\infty),R) have been obtained. Our results are not restricted with boundedness of solutions.

Anahtar Kelimeler:

Delay differential equations, neutral, nonlinear, oscillation, second-order.

Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients

Some oscillation criteria for the following second-order neutral differential equation [x(t)\pm r(t) f( x(t-g))]''+p(t) g(x(t-a)) -q(t) g(x(t-b )) = s(t) where t\geq t0, g,a,b \in R+ with a \geq b, r \in C2([t0,\infty ), R+) , p,q\in C([t0,\infty ),R+) and f,g\in C(R,R), s\in C([ t0,\infty),R) have been obtained. Our results are not restricted with boundedness of solutions.

Keywords:

Delay differential equations, neutral, nonlinear, oscillation, second-order.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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