The Jump Problem for Mixed-Type Equations with Defects on the Type Change Line

Boundary value problems

Ahmed Maher¹ 

[1] Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

关键词: Green Function;    Conjugation Condition;    Automorphic Function;    Cauchy Kernel;    Unknown Solution;   

DOI  :  10.1155/2010/681709

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The jump problem and problems with defects on the type change line for model mixed-type equations in the mixed domains are investigated. The explicit solutions of the jump problem are obtained by the method of integral equations and by the Fourier transformation method. The problems with defects are reduced to singular integral equations. Some results for the solution of the equation under consideration are discussed concerning the existence and uniqueness for the solution of the suggested problem.

【 授权许可】

CC BY