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Spectrums of Solvable Pantograph Differential‐Operators for First Order

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  • Z. I. Ismailov
  • P. Ipek

Abstract

By using the methods of operator theory, all solvable extensions of minimal operator generated by first order pantograph‐type delay differential‐operator expression in the Hilbert space of vector‐functions on finite interval have been considered. As a result, the exact formula for the spectrums of these extensions is presented. Applications of obtained results to the concrete models are illustrated.

Suggested Citation

  • Z. I. Ismailov & P. Ipek, 2014. "Spectrums of Solvable Pantograph Differential‐Operators for First Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:837565
    DOI: 10.1155/2014/837565
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    References listed on IDEAS

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    1. Bellen, Alfredo & Zennaro, Marino, 2003. "Numerical Methods for Delay Differential Equations," OUP Catalogue, Oxford University Press, number 9780198506546.
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