ayran

/ajran/

Cases

SingularPluralWhen to use it
nominativeayranthe salted yoghurt drinkayranlathe salted yoghurt drinksthe plain dictionary form — the doer of the sentence
genitiveayrannıthe salted yoghurt drink'sayranlanıthe salted yoghurt drinks'the owner — whose it is
accusativeayrannıthe salted yoghurt drink (as the object)ayranlanıthe salted yoghurt drinks (as the object)a specific, known object — whom or what
dativeayrangato the salted yoghurt drinkayranlağato the salted yoghurt drinksdirection or recipient — to where, to whom
locativeayrandaat / in the salted yoghurt drinkayranladaat / in the salted yoghurt drinkswhere it is; also having — mende bar, "I have it"
ablativeayrandanfrom the salted yoghurt drinkayranladanfrom the salted yoghurt drinkswhere it comes from; also "than" when comparing
When to use each case
nominative
the plain dictionary form — the doer of the sentence
genitive
the owner — whose it is
accusative
a specific, known object — whom or what
dative
direction or recipient — to where, to whom
locative
where it is; also having — mende bar, "I have it"
ablative
where it comes from; also "than" when comparing

The endings are the same ones the pronouns wear — that page explains when each case is used.

With an owner

One ownedSeveral owned
myayranımmy salted yoghurt drinkayranlarımmy salted yoghurt drinks
yourayranıngyour salted yoghurt drinkayranlarıngyour salted yoghurt drinks
his / herayranıhis / her salted yoghurt drinkayranlarıhis / her salted yoghurt drinks
ourayranıbızour salted yoghurt drinkayranlarıbızour salted yoghurt drinks
you all'sayranığızyou all's salted yoghurt drinkayranlarığızyou all's salted yoghurt drinks
theirayranlarıtheir salted yoghurt drinkayranlarıtheir salted yoghurt drinks

The overlap in the last rows is real, not a mistake: ayranları can mean "his / her salted yoghurt drinks", "their salted yoghurt drink", or "their salted yoghurt drinks" — context decides.