Geodesic
The cauchy problem for a~nonlinear integro-differential transport equation
Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 677-686

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In the present paper, we study the Cauchy problem for a nonlinear time-dependent kinetic neutrino transport equation. We prove the existence and uniqueness theorem for the solution of the Cauchy problem, establish uniform bounds in $t$ for the solution of this problem, and prove the existence and uniqueness of a stationary trajectory and the stabilization as $t\to\infty$ of the solution of the time-dependent problem for arbitrary initial data. 
@article{MZM_1997_61_5_a4,
     author = {A. V. Kalinin and S. F. Morozov},
     title = {The cauchy problem for a~nonlinear integro-differential transport equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {677--686},
     publisher = {mathdoc},
     volume = {61},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a4/}
}
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A. V. Kalinin; S. F. Morozov. The cauchy problem for a~nonlinear integro-differential transport equation. Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 677-686. http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a4/