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About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument

Author

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  • I. Orazov
  • A. Shaldanbayev
  • M. Shomanbayeva

Abstract

We study the nature of the spectrum of the periodic problem for the heat equation with a lower‐order term and with a deviating argument. A significant influence of the lower‐order term on the correct solvability of this problem is found. We obtain a criterion for the strong solvability of the above‐mentioned problem.

Suggested Citation

  • I. Orazov & A. Shaldanbayev & M. Shomanbayeva, 2013. "About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:128363
    DOI: 10.1155/2013/128363
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    References listed on IDEAS

    as
    1. Tongxing Li & Zhenlai Han & Chenghui Zhang & Hua Li, 2011. "Oscillation Criteria for Second-Order Superlinear Neutral Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-17, March.
    2. Tongxing Li & Zhenlai Han & Chenghui Zhang & Hua Li, 2011. "Oscillation Criteria for Second‐Order Superlinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Asylzat A. Kopzhassarova & Alexey L. Lukashov & Abdizhakhan M. Sarsenbi, 2012. "Spectral Properties of Non‐Self‐Adjoint Perturbations for a Spectral Problem with Involution," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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