Boundary-Value Problem for a Degenerate High-Odd-Order Equation
We consider a boundary-value problem for a degenerate high-odd-order equation. The uniqueness of the solution is shown by the method of energy integrals. The solution is constructed by the method of separation of variables. In this case, we get the eigenvalue problem for a degenerate even-order ordinary differential equation. The existence of eigenvalues is proved by means of reduction to the integral equation.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 10, pp 1475-1490.
Citation Example: Apakov Yu. P. Boundary-Value Problem for a Degenerate High-Odd-Order Equation // Ukr. Mat. Zh. - 2014. - 66, № 10. - pp. 1318–1331.