Geodesic
Solvability conditions in the analytical form of a descriptor system of partial differential equations
Vestnik rossijskih universitetov. Matematika, Tome 26 (2021) no. 134, pp. 130-142

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A system of first-order partial differential-algebraic equations in a Banach space with constant degenerate operators in the case of a regular operator pencil is considered. In this case, under some additional condition, the original system splits into two subsystems in disjoint subspaces in order to search for the projections of the original unknown function in the subspaces. The matching conditions for the parameters of the systems are identified. A solution of the considered system of differential-algebraic equations is constructed.
Keywords: Banach space, differential-algebraic equations, Fredholm operator, descriptor system. 
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     author = {A. H. Mohamad},
     title = {Solvability conditions in the analytical form of a descriptor system of partial differential equations},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {130--142},
     publisher = {mathdoc},
     volume = {26},
     number = {134},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2021_26_134_a2/}
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A. H. Mohamad. Solvability conditions in the analytical form of a descriptor system of partial differential equations. Vestnik rossijskih universitetov. Matematika, Tome 26 (2021) no. 134, pp. 130-142. http://geodesic.mathdoc.fr/item/VTAMU_2021_26_134_a2/