On some nonlinear evolution equation of second order
@article{Soltanov2016OnSN,
title={On some nonlinear evolution equation of second order},
author={Kamal N. Soltanov},
journal={arXiv: Analysis of PDEs},
year={2016}
}Here we study the abstract nonlinear differential equation of second order that in special case is the equation of the type of equation of traffic flow. We prove the solvability theorem for the posed problem under the appropriate conditions and also investigate the behaviour of the solution.
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