Oscillation criteria for third order nonlinear delay differential equations with damping

• Autorzy: Grace S. R.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.4.485

• Języki publikacji: EN

Abstrakty

EN

This note is concerned with the oscillation of third order nonlinear delay differential equations of the form (r2(t) (r1(t)y'(t))')' +p(t)y'(t) + q(t)ƒ(y(g(t))) = 0. (*) In the papers [A.Tiryaki, M.F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68] and [M.F. Aktas, A. Tiryaki, A. Zafer, Oscillation criteria for third order nonlinear-functional differential equations, Applied Math. Letters 23 (2010), 756-762], the authors established some sufficient conditions which insure that any solution of equation (*) oscillates or converges to zero, provided that the second order equation (r2(t)z'(t))' + (p(t)/r1(t))z(t) =0 (**) is nonoscillatory. Here, we shall improve and unify the results given in the above mentioned papers and present some new sufficient conditions which insure that any solution of equation (*) oscillates if equation (**) is nonoscillatory. We also establish results for the oscillation of equation (*) when equation (**) is oscillatory.

Słowa kluczowe

EN

oscillation; third order; delay differential equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 4
• Strony: 485--497
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Grace S. R.

• Department of Engineering Mathematics Faculty of Engineering, Cairo University Orman, Giza 12613, Egypt

Bibliografia

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