Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 3

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

Sayfa
259–263
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Neutral differential equations · positive and oscillating coefficients · Neutral differential equations

Özet

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.

Abstract

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.

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Bu Makaleye Atıf Yap

ÖCALAN, Ö., KARPUZ, B., YILDIZ, M. K. (2022). Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients. Turkish Journal of Mathematics, Cilt: 33 - Sayı: 3, 259–263. https://ajindex.com/articles/608571

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