Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation

• Autorzy: Graef J. R. , Tunc E. , Grace S. R.

Identyfikatory

DOI

10.7494/OpMath.2017.37.6.839

• Języki publikacji: EN

Abstrakty

EN

This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.

Słowa kluczowe

EN

third order; neutral differential equations; asymptotic behavior; nonoscillatory; oscillatory solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 6
• Strony: 839--852
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Graef J. R.

• University of Tennessee at Chattanooga Department of Mathematics Chattanooga, TN 37403, USA

autor

Tunc E.

• Gaziosmanpasa University Department of Mathematics Faculty of Arts and Sciences 60240, Tokat, Turkey

autor

Grace S. R.

• Department of Engineering Mathematics Faculty of Engineering Cairo University Orman, Giza 12221, Egypt

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).