Geodesic
Criterion for the Volterra property of the Cauchy problem for the pantograph equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 2, Tome 171 (2019), pp. 140-145

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In this paper, spectral properties of the Cauchy problem of the pantograph equation are examined and the boundary of the parameter range is established at which the problem remains a Volterra problem.
Mots-clés : pantograph equation, Gaal formula.
Keywords: spectrum, complete continuity, nuclearity, Hilbert–Schmidt operator, operator trace formula 
@article{INTO_2019_171_a12,
     author = {A. Sh. Shaldanbaev and M. I. Akylbaev and M. T. Shomanbayeva and A. A. Shaldanbayeva},
     title = {Criterion for the {Volterra} property of the {Cauchy} problem for the pantograph equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {140--145},
     publisher = {mathdoc},
     volume = {171},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_171_a12/}
}
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A. Sh. Shaldanbaev; M. I. Akylbaev; M. T. Shomanbayeva; A. A. Shaldanbayeva. Criterion for the Volterra property of the Cauchy problem for the pantograph equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 2, Tome 171 (2019), pp. 140-145. http://geodesic.mathdoc.fr/item/INTO_2019_171_a12/