Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 853–862
Differentical equations, dynamical systems and optimal control
The Cauchy problem for the degenerated partial differential equation of the high even order
Sh. T. Karimov
Fergana State University,
Fergana, Murabbiylar street, 19,
150100, Fergana, Uzbekistan
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.
Fractional integrals and derivatives, generalized Erdélyi–Kober operator, Bessel operator, degenerate differential equations.
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Received February 16, 2018, published August 15, 2018
Sh. T. Karimov, “The Cauchy problem for the degenerated partial differential equation of the high even order”, Sib. Èlektron. Mat. Izv., 15 (2018), 853–862
Citation in format AMSBIB
\paper The Cauchy problem for the degenerated partial differential equation of the high even order
\jour Sib. \`Elektron. Mat. Izv.
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