Solvability of Cauchy problem for a differential-algebraic system with concentrated delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2019), pp. 91-105

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We consider the Cauchy problem for the linear differential-algebraic equation with concentrated delay. Sufficient conditions for solvability and also a construction of generalized Green's operator Cauchy problem for the linear differential-algebraic equation with concentrated delay are obtained.
Keywords: Green operator, Cauchy problem, differential-algebraic equation with concentrated delay.
@article{IVM_2019_12_a8,
     author = {S. M. Chuiko},
     title = {Solvability of {Cauchy} problem for a differential-algebraic system with concentrated delay},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {91--105},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_12_a8/}
}
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S. M. Chuiko. Solvability of Cauchy problem for a differential-algebraic system with concentrated delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2019), pp. 91-105. http://geodesic.mathdoc.fr/item/IVM_2019_12_a8/