Geodesic
Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2022), pp. 67-78

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We construct conditions for the existence of solution of linear boundary value problem for system of differential-algebraic equations with variable rank of leading coefficient matrix. Cauchy problem for the linear differential-algebraic equation with constant delay is considered. Sufficient conditions for solvability and also a construction of generalized Green's operator for the linear boundary value problem for system of differential-algebraic equations with variable rank of leading coefficient matrix are obtained.
Keywords: green operator, boundary-value problem, differential-algebraic equation with constant delay. 
@article{IVM_2022_6_a6,
     author = {S. M. Chujko},
     title = {Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {67--78},
     publisher = {mathdoc},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_6_a6/}
}
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S. M. Chujko. Boundary-value problem for a differential-algebraic system with constant delay with variable rank of leading coefficient matrix. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2022), pp. 67-78. http://geodesic.mathdoc.fr/item/IVM_2022_6_a6/