Demand defined

1. to ask for with proper authority; claim as a right: He demanded payment of the debt.
2. to ask for peremptorily or urgently: He demanded sanctuary. She demanded that we let her in.
3. to call for or require as just, proper, or necessary: This task demands patience. Justice demands objectivity.
4.
Law .
a. to lay formal legal claim to.
b. to summon, as to court.

to entrust
to commission
to order

Origin:
1250–1300;  ME demaunden  < AF demaunder  < ML de-manda-re  to demand, L to entrust, equiv. to de-- de-  + manda-re  to commission, order; see mandate

—Related forms
de·mand·a·ble, adjective
de·mand·er, noun
coun·ter·de·mand, noun
o·ver·de·mand, verb, noun
pre·de·mand, verb (used with object)
su·per·de·mand, noun
un·de·mand·ed, adjective 

—Synonyms
Demand = claim = require 
3.  exact.  imply making an authoritative request. 
To demand  is to ask in a bold, authoritative way: to demand an explanation.  
To claim  is to assert a right to something: He claimed it as his due.  
To require  is to ask for something as being necessary; to compel: The Army requires absolute obedience of its soldiers.

to ask for with proper authority