In this study, the boundary-value problem with eigenvalue parameter generated by the differential equation with discontinuous coefficients and boundary conditions which contains not only endpoints of the considered interval, but also point of discontinuity and linear functionals is investigated. So, the problem is not pure boundary-value. The authors single out a class of linear functionals and find simple algebraic conditions on coefficients, which garantee the existence of innnit number eigenvalues. Also the asymptotic formulas for eigenvalues are found.
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机译:S. K. Banerji and V. M. Ghatage: On Discontinuous Fluid Motion under Different Thermal Conditions (温度を异にする流体の不连续的运动). Indian Journ. of Phys. Vol. VII. pp. 165-228, 1933.