IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n392097.html

Oscillations of Difference Equations with Several Oscillating Coefficients

Author

Listed:
  • L. Berezansky
  • G. E. Chatzarakis
  • A. Domoshnitsky
  • I. P. Stavroulakis

Abstract

We study the oscillatory behavior of the solutions of the difference equation Δx(n)+∑i=1mpi(n)x(τi(n))=00,n∈N0[∇xn-∑i=1mpinxσin=, n∈N] where (pi(n)), 1 ≤ i ≤ m are real sequences with oscillating terms, τi(n)[σi(n)], 1 ≤ i ≤ m are general retarded (advanced) arguments, and Δ[∇] denotes the forward (backward) difference operator Δx(n) = x(n + 1) − x(n)[∇x(n) = x(n) − x(n − 1)]. Examples illustrating the results are also given.

Suggested Citation

  • L. Berezansky & G. E. Chatzarakis & A. Domoshnitsky & I. P. Stavroulakis, 2014. "Oscillations of Difference Equations with Several Oscillating Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:392097
    DOI: 10.1155/2014/392097
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/392097
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/392097?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Xianyi Li & Deming Zhu & Hanqing Wang, 2003. "Oscillation for advanced differential equations with oscillating coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-10, January.
    2. Ravi P. Agarwal & Leonid Berezansky & Elena Braverman & Alexander Domoshnitsky, 2012. "Nonoscillation Theory of Functional Differential Equations with Applications," Springer Books, Springer, edition 127, number 978-1-4614-3455-9, March.
    3. Weiping Yan & Jurang Yan, 1996. "Comparison and oscillation results for delay difference equations with oscillating coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-6, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. G. E. Chatzarakis & H. Péics & I. P. Stavroulakis, 2014. "Oscillations in Difference Equations with Deviating Arguments and Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. George E. Chatzarakis & Hajnalka Péics & Andrea Rožnjik, 2025. "Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients," Mathematics, MDPI, vol. 13(8), pages 1-16, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tongxing Li & Yuriy V. Rogovchenko, 2014. "Asymptotic Behavior of Higher‐Order Quasilinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Dongfang Li & Chao Tong & Jinming Wen, 2014. "Stability of Exact and Discrete Energy for Non‐Fickian Reaction‐Diffusion Equations with a Variable Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Xiaosheng Zhang & Duo Wang, 2013. "Infinitely Many Periodic Solutions to Delay Differential Equations via Critical Point Theory," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Youjun Liu & Jianwen Zhang & Jurang Yan, 2013. "Existence of Oscillatory Solutions of Second Order Delay Differential Equations with Distributed Deviating Arguments," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Alexander Domoshnitsky & Roman Shklyar & Mikhail Gitman & Valery Stolbov, 2014. "Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. George E. Chatzarakis & Hajnalka Péics & Andrea Rožnjik, 2025. "Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients," Mathematics, MDPI, vol. 13(8), pages 1-16, April.
    7. L. Berezansky & E. Braverman, 2011. "On Nonoscillation of Advanced Differential Equations with Several Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:392097. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.