Improved oscillation criteria for second order nonlinear delay difference equations with non-positive neutral term

• Autorzy: Thandapani E. , Selvarangam S. , Rama R. , Madhan M.

Identyfikatory

DOI

10.1515/fascmath-2016-0011

• Języki publikacji: EN

Abstrakty

EN

In this paper, we present some oscillation criteria for second order nonlinear delay difference equation with non-positive neutral term of the form ∆(a_n (∆z_n )^α )+q_n f(x_n-σ) )=0, n>n_o >0, where z_n - x_n - p_n x_n-r, and α is a ratio of odd positive integers. Examples are provided to illustrate the results. The results obtained in this paper improve and complement to some of the existing results.

Słowa kluczowe

EN

oscillation; second order delay difference equation; non-positive neutral term

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 56
• Strony: 155--165
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Thandapani E.

• Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India

autor

Selvarangam S.

• Department of Mathematics, Presidency College, Chennai - 600 005, India

autor

Rama R.

• Department of Mathematics, Quaid-e-Millath Government College for Women, Chennai - 600 002, India

autor

Madhan M.

• Department of Mathematics, Presidency College, Chennai - 600 005, India

Bibliografia

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• [5] Saker S.H., Oscillation Theory of Delay Differential and Difference Equations: Second and Third Order, Verlag dr Muler, Germany, 2010.
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Uwagi

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