My sony walkman seems to shutdown while charging

This could be the result of a number of issues

The USB cable is not connected to a USB connector on your computer properly.

Disconnect the USB cable, and then reconnect it.

Use the supplied USB cable.

You cannot charge the battery when the icon appears. Charge the battery in an

ambient temperature of 5 °C (41 °F) to 35 °C (95 °F).

The computer is not on or may in sleep or hibernation mode. Counteract these settings. Connecting your Walkman via a USB hub may not work. Connect the Walkman to your computer using the USB cable (supplied). You have not used your Walkman for more than a year. Depending on the conditions under which your Walkman is used, the battery may have been deteriorated. Consult your nearest Sony dealer.