I am a non-eea spouse of a Hungarian citizen. We are based here in the UK and I have a residence card. Is it possible to apply an EEA family permit to my children (15 and 13 years old). They are my children from my previous marriage. We would like to invite them for 3 weeks visit on December. Thank you.
Yes, you can apply for an EEA family permit for your children. Here is the pertinent part of the UK government's web page describing qualifying relationships:
Qualifying as a family member
You must be the EEA citizen’s spouse or civil partner, or related to them (or their spouse or civil partner) as their:
- child or grandchild under 21 years old, or dependent child or grandchild of any age
- dependent parent or grandparent
(Source: https://www.gov.uk/family-permit/eligibility; emphasis added)
Since you are the spouse of an EEA national, your children are the children of a spouse of an EEA national (who is presumably a "qualified person" since you have a residence card). They are therefore eligible to apply for an EEA family permit. Because your children are under 21 years of age, they do not need to be dependent on you or your spouse in order to qualify.