Go back to your divorce attorney and request that that attorney assist you. If your ex has not complied with the divorce decree, your attorney can file a motion with the court to enforce the decree, and to seek sanctions against your ex. Among the relief that you can request is a change in custody.
Going back to your divorce attorney also resolves the question of personal jurisdiction over your ex. If your ex has no contacts in Texas, and the children are not in Texas, it would be a lot easier to seek relief in Nebraska.
Incidentally, if there was jurisdiction over the divorce or your ex in Texas, the Texas Attorney General's Child Support Division can help with child support payments. The web address for the Texas Attorney General Child Support Division is:
Nebraska may have a similar office in its Attorney General's office.
Just because you moved to Texas, the court where the diovrce was granted retains jurisdiction. You can certainly talk to an attorney in Katy TX but I'm pretty sure that is what the attorney will tell you.
If you ex is not following the current court order, then he's in contempt. But, I'm not licensed in NE. You need to talk to a NE attorney.
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