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If you have 4GB or less system memory that can be an issues as steemd does need a lot of RAM.

Try running steemd with the --resync option...

I have 8 Gb of ram and when steemd process was ending of download all blockchain I see on process manager that he taken over 6 Gb of ram.. now, with resync he taken under 1 Gb. I think than I don't be alone with this problem...
I remember that also bitcoind have same problem and I set *-dbcache= *parameter to solve it... This can be work also with steemd ?

Don't think that steemd has a similar option, here it also uses about 6 GB of RAM when mining.