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.
"Spectrums of Solvable Pantograph Differential-Operators for First Order." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/837565