an analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients

Authors

m. jahanshahi

department of mathematics, azarbaijan shahid madani university, tabriz, iran. m. darabadi

department of mathematics, azarbaijan shahid madani university, tabriz, iran

abstract

‎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.

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Journal title:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۲، صفحات ۳۱۵-۳۲۶

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