Why isn't my sister iPhone 5s coming on?

It's been turning off for a bit and coming back on. This morning she woke up and noticed the apple logo was showing. She has tried to restart it and it's still showing the apple logo, she put it into her laptop to try and restore it and it wouldn't work either. It has now been 9 hours and the apple logo is still showing.

It is stuck in a boot loop. As restoring it hasn't worked try DFU Mode

Step #1. Start iTunes on your computer. Then, you need to connect your iPhone to your computer.

Step #2. Now, turn off your iOS device. Just in case, you are unable to switch off your device, hold on the sleep/wake button until the screen turns off.

When your device turns off, you need to hold down the on/off button for 3 seconds.

After the 3 seconds, you have to start pressing the Home button while still holding on the ON/OFF button. On your iPhone 7/7 Plus, you need to press the volume down button along with the ON? OFF button.

Make sure to hold both the buttons for 10 seconds. Then, leave the power ON/OFF button but keep holding the Home button. (volume down button on iPhone 7/7 Plus)

Step #3. If the screen of your device remains black and doesn't display anything, it means you have successfully entered DFU mode.

Note: If you see the Apple logo or Connect to iTunes prompt, it means you are not in DFU Mode. You will have to repeat the process from step 1.

Step #4. You should see a popup window in iTunes. It will prompt you to restore your device. You have the option to restore your iPhone to factory settings or restore from a previous backup.

If that doesn't work you will have to take it to an apple store or an independent apple repairer

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