Geodesic
General boundary value problem for the third order linear differential equation of composite type
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012) no. 2, pp. 119-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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The boundary value problem is considered for the linear two-dimensional integro-differential loaded third order equation of composite type with non-local terms in the boundary conditions. The principal part of the equation is a derivative of the two-dimensional Laplace equation with respect to the variable $x_2$. Taking into account the ill-posedness of boundary value problems for hyperbolic differential equations, the principal part of the boundary conditions is chosen in a special form dictated by the obtained necessary conditions. 
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A. Delshad Gharehgheshlaghi; N. Aliyev. General boundary value problem for the third order linear differential equation of composite type. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012) no. 2, pp. 119-134. http://geodesic.mathdoc.fr/item/JMAG_2012_8_2_a0/

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