The Cauchy problem for the degenerated partial differential equation of the high even order. (English) Zbl 1400.35187
Summary: 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.
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