UDC 517.95

LAVRENTIEV-BITSADZE EQUATION WITH MULTIPLE CHARACTERISTICS Lavrentiev-Bitsadze equation with multiple characteristics

Published in International Journal of Applied Sciences and Technology Integral · Rubric: Fiziko-matematicheskie nauki
Received: 06.12.2018 Accepted: 15.12.2018 Published: 25.12.2018 Language of publication: ENG
Authors
In this paper we study two boundary value problems for the Lavrent’ev-Bitsadze model equation with one family of characteristics that twice cross the line of change of type. Boundary value problems for such equations reduce to elliptic boundary-value problems with displacements and singular integral equations with displacement. A disintegrating system of singular equations is obtained in the case when the boundary of the elliptic part is taken by a normal curve and the decomposable system of complete singular equations in the case of an arbitrary boundary of the Lyapunov class.
Lavrent’ev-Bitsadze model equation, singular equations, boundary value problems, Lyapunov class