Criterion for the Volterra Property of the Cauchy Problem for the Pantograph Equation
Shaldanbayev A.S. Akylbayev M.I. Shomanbayeva M.T. Shaldanbayeva A.A.
June 2022Springer
Journal of Mathematical Sciences (United States)
2022#263Issue 5735 - 740 pp.
In this paper, spectral properties of the Cauchy problem of the pantograph equation are examined. We establish the boundaries of the parameter interval in which the problem remains a Volterra problem.
34K06 , 34K08 , complete continuity , Gaal formula , Hilbert– Schmidt operator , nuclearity , operator trace formula , pantograph equation , spectrum
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International University SILKWAY, Shymkent, Kazakhstan
Regional Social and Innovative University, Shymkent, Kazakhstan
M. Auezov South Kazakhstan State University, Shymkent, Kazakhstan
International University SILKWAY
Regional Social and Innovative University
M. Auezov South Kazakhstan State University
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