TY - JOUR
AU - Yu. P. Apakov
PY - 2014/10/25
Y2 - 2022/10/01
TI - Boundary-Value Problem for a Degenerate High-Odd-Order Equation
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 66
IS - 10
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/2224
AB - 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.
ER -