Geodesic
The Cauchy problem for the degenerated partial differential equation of the high even order
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 853-862

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In this paper we develop a method for investigating the Cauchy problem for a degenerate differential equation of high even order. Applying the generalized Erdélyi–Kober operator, the formulated problem reduces to a problem for an equation without degeneracy. Further, necessary and sufficient conditions for reducing the order of the equation are proved. Two examples demonstrate the application of the developed method.
Keywords: Fractional integrals and derivatives, generalized Erdélyi–Kober operator, Bessel operator, degenerate differential equations. 
Sh. T. Karimov. The Cauchy problem for the degenerated partial differential equation of the high even order. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 853-862. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a94/
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