IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n937128.html

Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits

Author

Listed:
  • Guanwei Chen

Abstract

We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non‐periodic damped vibration systems with asymptotically quadratic terms at infinity.

Suggested Citation

  • Guanwei Chen, 2013. "Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:937128
    DOI: 10.1155/2013/937128
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/937128
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/937128?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. Peng Zhang & Chun-Lei Tang, 2010. "Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second‐Order Hamiltonian Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Peng Zhang & Chun-Lei Tang, 2010. "Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-10, June.
    Full references (including those not matched with items on IDEAS)

    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.

      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:2013:y:2013:i:1:n:937128. 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.