Is there the way to resolve RAM problems? I have Macbook Pro 13" Late 2011. It has 4GB RAM, i bought 2x8GB Corsair, CMSO8GX3M1A1333C9. It works cool in 98% of time, but when i play games or use very heavy apps like Photoshop, i always get crashes and reboots. I try to use only one slot with 8GB in there – the same problem. On 4GB (2x2GB) no crashes or reboots but it's mush more slower... 

The questions are:
– how to resolve that problems?
– may it be that my Mac can't use more than 4GB in one slot?
– what memory will make work with my Mac stable? 

Best regards,
Sergey
Did you buy the RAM from a provider that guarantees it for Macintosh systems? I've gotten RAM from a big box store that has met the exact specifications, but wouldn't work in my Mac Book Pro without crashing all of the time. I ended up returning that RAM and getting it for about the same price from a vendor that guarantees it will work in my specific system.

Apple specs say that this machine is capable of a maximum of 8GB of ram, but third parties have found, that with the right modules, 16GB works fine.

I'd recommend returning your current RAM modules and getting new ones from a Mac specialist. I don't think that the modules you have will ever work with your hardware.