Nonlocal Solvability of the Cauchy Problem for a System with Negative Functions of the Variable t

Marina Dontsova

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

We obtain sufficient conditions for the existence and uniqueness of a local solution of the Cauchy problem for a quasilinear system with negative functions of the variable tt and show that the solution has the same xx-smoothness as the initial function. We also obtain sufficient conditions for the existence and uniqueness of a nonlocal solution of the Cauchy problem for a quasilinear system with negative functions of the variable tt.

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Nonlocal Solvability of the Cauchy Problem for a System with Negative Functions of the Variable t

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