Abstract:
The paper considers spectral properties of differential operators of the sixth order with a retarded argument. It is supposed that coefficients of the operator are summable functions on a segment. One can study 36 kinds of boundary-valued conditions simultaneously by one method. The asymptotics of eigenvalues of the differential operator is also calculated.
Keywords:differential operator, summable coefficients, retarded argument, asymptotics of eigenvalues, asymptotics of solutions.