TY - JOUR
T1 - Generalized Frankl-Rassias Problem for a Class of Mixed Type Equations in an Infinite Domain
AU - Ruziev , M. Kh.
JO - Journal of Partial Differential Equations
VL - 2
SP - 176
EP - 188
PY - 2014
DA - 2014/06
SN - 27
DO - http://doi.org/10.4208/jpde.v27.n2.8
UR - https://global-sci.org/intro/article_detail/jpde/5135.html
KW - Extremum principle
KW - infinite domain
KW - non-local problem
KW - mixed type equation
KW - Cauchy problem
KW - Darboux formula
KW - integral equations
AB -  In this paper, we study the boundary-value problem for mixed type equation with singular coefficient. We prove the unique solvability of the mentioned problem with the help of the extremumprinciple. The proof of the existence is based on the theory of singular integral equations, Wiener-Hopf equations and Fredholm integral equations.