TY - JOUR
ID - 761
TI - An analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Jahanshahi, M.
AU - Darabadi, M.
AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Y1 - 2016
PY - 2016
VL - 42
IS - 2
SP - 315
EP - 326
KW - Partial Differential Equation
KW - Boundary Value Problem
KW - Self Adjoint Problem
KW - Non-Self Adjoint Operators
KW - Non-Local-Boundary Conditions
DO -
N2 - This paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients. At first, the non-self-adjoint spectral problem is derived. Then its adjoint problem is calculated. After that, for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined. Finally the convergence of series solution and the uniqueness of this solution will be proved.
UR - http://bims.iranjournals.ir/article_761.html
L1 - http://bims.iranjournals.ir/article_761_706ebf130c6496e7db6e47caf0549442.pdf
ER -