Özkan ÖCALAN, Başak KARPUZ, Mustafa Kemal YILDIZ

5784

Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients

A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(k(t))]^{(n-1]' +p(t)F(x(t(t)))+q(t)G(x(s(t)))= f(t), where t\geq t0, n\geq 2, a,p are positive, r,q,f are allowed to alternate in sign infinitely many times, F,G are continuous functions, and k,t,s are strictly increasing unbounded continuous delay functions.

Anahtar Kelimeler:

Neutral differential equations, positive and oscillating coefficients

Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients

A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(k(t))]^{(n-1]' +p(t)F(x(t(t)))+q(t)G(x(s(t)))= f(t), where t\geq t0, n\geq 2, a,p are positive, r,q,f are allowed to alternate in sign infinitely many times, F,G are continuous functions, and k,t,s are strictly increasing unbounded continuous delay functions.

Keywords:

Neutral differential equations, positive and oscillating coefficients,

Turkish Journal of Mathematics-Cover

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

Arşiv

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