An Asus Eee PC should work with VirtualBox, but it has an Atom CPU that will be very slow. You also probably cannot use VT-x or nested paging.
Here are some suggestions.
- Look at your host OS to see how much free memory is available. Allocate no more than the available free memory to a virtual machine. Otherwise the system must swap a lot of information to the disk.
- Make sure you have installed the correct version of Guest Additions
- Turn off hardware virtualization
- Turn of nested paging
- Set the virtual machine to use 1 CPU
- Change the APIC setting to on or off
- Change hard disk controllers to PIIX 3 or PIIX 4 instead of SATA
- Use the PCnet-Fast III virtual network adapter instead of Intel
- If guest kernel requires PAE turn on PAE for virtual machine
- Make sure the guest has enough RAM
- Disable all unnecessary virtual devices
- Load VirtualBox extensions if you need those
- Disable 3D acceleration
- Increase graphics memory to 64MB
- Try a previous version of VirtualBox EX 4.1
- Uninstall or disable all other virtual machine software
- Build the kernel for generic X86 instructions instead of a specific AMD or Intel CPU class
You can get better help if you post more details.
What version of VirtualBox are you using?
What host OS are you using?
Is your host OS 32-bit or 64-bit?
Is your guest OS 32-bit or 64-bit?
What virtual hardware are you using in the virtual machine?
What are the settings for the virtual machine?
Post the messages up to and including the kernel panic.
Also, look in the forums on the VirtualBox web site. Search the forums for your Host OS and for your Guest OS. Look at the release notes to see if a similar problem has been fixed.