The Tricomi and Frankl Problems for Generalized Chaplygin Equations in Multiply Connected Domains

The present paper deals with Tricomi and Frankl problems for generalized Chaplygin equations in multiply connected domains. We first give the representation of solutions of the Tricomi problem for the equations, and then prove the uniqueness and existence of solutions for the problem by a new method, i.e. the complex functions in the elliptic domain and the hyperbolic complex functions in hyperbolic domain are used. Finally we discuss the Frankl problem for generalized Chaplygin equations in multiply connected domains.Mathematics, AppliedMathematicsSCI(E)中国科技核心期刊(ISTIC)中国科学引文数据库(CSCD)0ARTICLE111759-17742