TY - JOUR
T1 - Non-local Problem for the Loaded Integral-differential Equation in Double-connected Domain
AU - Abdullayev , O. Kh
JO - Journal of Partial Differential Equations
VL - 1
SP - 36
EP - 47
PY - 2016
DA - 2016/03
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n1.4
UR - https://global-sci.org/intro/article_detail/jpde/5077.html
KW - Loaded equation
KW - elliptic-hyperbolic type
KW - integral-differential operators
KW - doubleconnected domain
KW - an extremum principle
KW - existence of solution
KW - uniqueness of solution
KW - method of integral energy
KW - integral equations
AB -  In this work an existence and uniqueness of solution of the non-local boundary value problemfor the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.