DETERMINATION OF THE FREQUENCIES AND FORMS OF OSCILLATIONS OF NONUNIFORM DISTRIBUTED SYSTEMS WITH BOUNDARY-CONDITIONS OF THE THIRD KIND (VOL 61, PG 547, 1997)

An effective method of constructing a solution of the eigenvalue and e igenfunction problem for an essentially non-uniform oscillatory system with variable distributed parameters is developed. The proposed appro ach is based on a combination of a variational approach, the theory of boundary-value problems and perturbation methods. An original determi nation of the small parameter of the problem is given and a recurrence algorithm for the successive refinement of the eigenvalues and eigenf unctions is proposed, which leads to accelerated (quadratic) convergen ce of the Newton's ''method of tangents'' type. A commentary is made o n the method and is illustrated by the solution of model examples. (C) 1997 Elsevier Science Ltd. All rights reserved.