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

Marina Dontsova

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

Abstract

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.

Author(s)

Table of Contents

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

Abstract

Author(s)

Table of Contents

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

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

Abstract

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter