Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its Cartesian equations
Karel Mišoň (1971)
Aplikace matematiky
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Karel Mišoň (1971)
Aplikace matematiky
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Cao, Jia-Ding, Gonska, Heinz H. (1989)
Portugaliae mathematica
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Agarwal, R.D. (1969)
Portugaliae mathematica
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Vladimír B. Kameń (1991)
Applications of Mathematics
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A tempered distribution which is an exact solution of the wave equation with a concentrated moving source on the right-hand side, is obtained in the paper by means of the Cagniard - de Hoop method.
Samko, Stefan (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 45DB05, 45E05, 78A45 We show that a certain axisymmetric hypersingular integral equation arising in problems of cracks in the elasticity theory may be explicitly solved in the case where the crack occupies a plane circle. We give three different forms of the resolving formula. Two of them involve regular kernels, while the third one involves a singular kernel, but requires less regularity assumptions on the the right-hand side of the equation.