Boundary value problem for third order equation with multiple characteristics and alternating function on the highest derivative

A. I. Kozhanov ; S. V. Potapova

Dalʹnevostočnyj matematičeskij žurnal, Tome 17 (2017) no. 1, pp. 48-58.

Résumé

In this paper we investigated the regular solvability of conjugate problem (generalized diffraction problem) for third order equation with multiple characteristics and alternating function on the highest derivative. This function has a discontinuity of the first kind and changes sign when passing the point of discontinuity. The existence and uniqueness of regular solutions are proved by the regularization and continuation methods.

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