Fourth order qualitative inspection of nonlinear neutral delay difference equation

• Autorzy: Jesinthaangel R. , Jawahar G. Gomathi , Aruna K.

Identyfikatory

DOI

10.15199/48.2022.07.11

Warianty tytułu

PL

Badane nieliniowego równania różnicowe czwartego rzędu

• Języki publikacji: EN

Abstrakty

EN

This paper aim is to investigate the nonlinear neutral fourth order difference equation in the form. We establish some conditions to assure that all solutions to this equation are oscillatory or nonoscillatory. We derived this using summation averaging technique and comparison principle. The main outcomes are illustrated using examples.

PL

W artykule badano nieliniowe równanie różnicowe czwartego rzędu. Ustalamy pewne warunki, aby zapewnić, że wszystkie rozwiązania tego równania są oscylacyjne lub nieoscylacyjne. Wyprowadziliśmy to za pomocą techniki uśredniania sumowania i zasady porównania. Główne wyniki zilustrowano na przykładach.

Słowa kluczowe

EN

oscillation; nonlinear; neutral difference equation

PL

oscylacja; równanie różnicowe

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2022
• Tom: R. 98, nr 7
• Strony: 66--69
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Jesinthaangel R.

• Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India

• https://orcid.org/0000-0002-1108-863X

autor

Jawahar G. Gomathi

• Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India

• https://orcid.org/0000-0002-0361-7116

autor

Aruna K.

• Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India

Bibliografia

• [1] Ozkan Ocalan, oscillation of neutral differential equation with positive and Negative coefficients, j.Math.Anal.Appl.331(1) (2007), 644-654.
• [2] B. Selvaraj and I. Mohammed Ali Jaffer; Oscillatory Properties of Fourth Order Neutral delay difference Equations’ J.Comp. & Math. Sci. Vol. 1 (3), 364–373 (2010).
• [3] B. Selvaraj and I.Mohammed Ali Jaffer; Oscillation Behavior of Certain Third Order Non–linear Difference Equations’ International Journal of Nonlinear Science, Vol. 10, No.3, pp. 349–358 (2010).
• [4] B. Selvaraj and I. Mohammed Ali Jaffer; Oscillation Behavior of Certain fourth order Linear and Nonlinear Difference Equations’ Advances in Theoretical and Applied Mathematics, Volume 6, Number 2, pp. 191–201 (2011).
• [5] B. Selvaraj and J. Daphy Louis Lovenia; Third-Order Neutral Difference Equations with Positive and Negative Coefficients’ J. Comp. & Math. Sci. Vol. 2(3), 531–536 (2011).
• [6] B. Selvaraj and S. Kaleeswari; Oscillation Theorems for Certain Fourth Order Non-Linear Difference Equations, International Journal of Mathematics Research, ISSN 0976-5840, Vol 5, No 3, 299-312 (2013).
• [7] B. Selvaraj, P. Mohankumar and A. Balasubramanian; Oscillatory Solutions of Certain Fourth Order Nonlinear Difference Equations, J. Comp. & Math. Sci. Vol.4 (5), 350-355 (2013).
• [8] Xi-Lan Liu and Yang-yang Dong, oscillatory Behaviour of Third order difference equations, International journal of difference equations ISSN 0973-6069, volume 9,Number 2, (2014), pp. 223-231.
• [9] A. George Maria Selvam, M. Paul Loganathan, and K.R.Rajkumar; Some Oscillation Properties of Third Order Linear Neutral Delay Difference Equations, International Journal of Computational Engineering Research (IJCER), ISSN (e): 2250–3005, Vol 05, Issue 07(2015).
• [10] G. Gomathi Jawahar; Some Properties on the Oscillation Behaviour of Third Order Neutral Delay Difference Equations, International Journal of Mechanical Engineering and Technology 9(2), 2018. pp. 556–562.
• [11] G. Gomathi Jawahar and R. Jesinthaangel; Global Behaviour of Third Order Neutral Delay Difference Equations, International Journal of Mechanical Engineering and Technology (IJMET) Vol. 9 (4), 177–184 (2018).
• [12] E. Thandapani and S.L. Marian, The asymptotic behavior of solutions of nonlinear second order difference equations, Applied Mathematics Letters, Volume 14; Issue 5, 2001.
• [13] E. Thandapani and I.M. Arockiasamy, Some Oscillation and Non-Oscillation Theorems for Fourth Order Difference Equations, Zeitschrift für Analysis und ihre Anwendungen, Volume 19, Issue 3, 863-872, 2000.
• [14] Chen, Da-Xue, Pei-Xin Qu, and Yong-Hong Lan, Oscillation of second-order nonlinear dynamic equations with positive and negative coefficients, Advances in Difference Equations, 168, 2013.
• [15] M.-P. Chen, B.S. Lalli and J.S. Yu, Oscillation in neutral delay difference equations with variable coefficients, Computers & Mathematics with Applications, Vol. 29, No. 3, pp. 5-11, 1995.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).