On a nonclassical interpretation of the four-dimensional Goursat problem for one hyberbolic equation
I. G. Mamedov
Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
A homeomorphism between certain pairs of Banach space is revealed in the study of the four-dimensional Goursat problem for one differential equation with leading partial derivative of the sixth order $D_1D_2D_3^2D_4^2$ with discontinuous coefficients ($L_p$-coefficients) by reducing this problem to an equivalent integral equation.
hyperbolic equation, the four-dimensional Goursat problem, equations with discontinuous coefficients.
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I. G. Mamedov, “On a nonclassical interpretation of the four-dimensional Goursat problem for one hyberbolic equation”, Vladikavkaz. Mat. Zh., 17:4 (2015), 59–66
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\paper On a~nonclassical interpretation of the four-dimensional Goursat problem for one hyberbolic equation
\jour Vladikavkaz. Mat. Zh.
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