1) 'Bajram' is Turkish origin, meaning 'festival'.
Two Bajrams are celebrated each year - Ramadan Bajram and Kurban Bajram.
2) Ramadan Bajram (Eid-Ul-Fitr, the "Festival of the Breaking of the Fast"):
Bosnian and Hercegovinan Muslims are celebrating Ramadan in the name of Ramadan Bajram with a three-day holiday that marks the ending of the holy month of Ramadan during which Muslims fast from sunrise to sunset.
For Bosnian Muslims it means family gatherings, exchanging gifts, eating a lot of food (especially baklava). It also means visiting the graves of dear ones and giving charity to poor people.
On a more spiritual level, Bajram is the holiday of forgiveness, moral victory and peace, of congregation, fellowship, brotherhood and unity. Muslims are not only celebrating the end of fasting, but thanking God (Arabic: Allah) for giving them strength and helping them practise self-control throughout the previous month.
3) Kurban Bajram (Eid ul-Adha or Eid-Ul-Zuha, the "Feast of Sacrifice"):
In Bosnia and Herzegovina, Albania and Bulgaria, this festival is referred as Kurban Bajram.
Kurban Bajram comes two months and ten days after Ramadan Bajram and marks the willingness of Prophet Ibrahim to sacrifice his son Ismail for God.
As Ibrahim prepared to sacrifice his son, God stopped him and gave him a sheep to sacrifice instead (this story is also a part of the Old Testament and Jewish Tanakh).
Muslims around the world thus sacrifice sheep for this holiday, giving the meat out to their family, friends and to the poor. This meat is called kurban in Bosnia, thus the holiday is called Kurban Bajram.
Muslims also celebrate Kurban Bajram as it marks the end of the Hajj for the millions of Muslims who make the pilgrimage to Mecca each year.
4) As the Muslim calendar is lunar, Bajrams move up by ten days each year.