Geodesic
An approximate solution of loaded hyperbolic equation with homogenios initial conditions
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2017), pp. 49-58

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The article offers a method for solving a mixed problem with homogeneous initial conditions for a loaded hyperbolic equation with integral natural degree module of unknown function. An approximate solution is sought by means of a priori estimates of the solution of the problem. We obtained a formula expressing the solution through the solution of the ordinary differential equation associated with the source loaded equation.
Keywords: nonlinear partial differential equations, loaded partial differential equations, a priori estimates, approximate solutions. 
@article{VTPMK_2017_2_a3,
     author = {O. L. Boziev},
     title = {An approximate solution of loaded hyperbolic equation with homogenios initial conditions},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {49--58},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2017_2_a3/}
}
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O. L. Boziev. An approximate solution of loaded hyperbolic equation with homogenios initial conditions. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2017), pp. 49-58. http://geodesic.mathdoc.fr/item/VTPMK_2017_2_a3/