2017
Том 69
№ 6

Всі номери

Boundary-Value Problem for a Degenerate High-Odd-Order Equation

Апаков Ю. П.


Абстракт

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.

Англомовна версія (Springer): Ukrainian Mathematical Journal 66 (2014), no. 10, pp 1475-1490.

Зразок цитування: Апаков Ю. П. Boundary-Value Problem for a Degenerate High-Odd-Order Equation // Укр. мат. журн. - 2014. - 66, № 10. - С. 1318–1331.