For an equation with four independent variables, we suggest conditions on the coefficients under which the Riemann function is a solution of a system of two integral equations. The result is used to construct the Riemann function in closed form.
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Original Russian Text © A.N. Mironov, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 2, pp. 266–272.
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Mironov, A.N. On the construction of the Riemann function for an equation with leading fifth partial derivative. Diff Equat 46, 270–276 (2010). https://doi.org/10.1134/S0012266110020114
- Integral Equation
- Partial Derivative
- Cauchy Problem
- Closed Form
- Riemann Function