Geodesic
On solvability of the Cauchy problem for one quasilinear singular functional-differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 54-61

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We consider the Cauchy problem with zero initial conditions for quasilinear singular functional-differential equation of the second order with a delay at singular summand. We obtain sufficient conditions of solvability of the problem.
Keywords: singular differential equation, Cauchy problem, functional-differential equation. 
@article{IVM_2016_2_a7,
     author = {V. P. Plaksina and I. M. Plaksina and E. V. Plekhova},
     title = {On solvability of the {Cauchy} problem for one quasilinear singular functional-differential equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {54--61},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_2_a7/}
}
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V. P. Plaksina; I. M. Plaksina; E. V. Plekhova. On solvability of the Cauchy problem for one quasilinear singular functional-differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 54-61. http://geodesic.mathdoc.fr/item/IVM_2016_2_a7/