Spectrums of Solvable Pantograph Differential-Operators for First Order

Spectrums of Solvable Pantograph Differential-Operators for First Order

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 t...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.332-339-1431
Hauptverfasser: Ismailov, Z. I., Ipek, P.
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Delay equations
Differential equations
Hilbert space
Mathematical models
Mathematical research
Operator theory
Quantum theory
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/837565