12/20/2013 at 03:00 PM EST
An ugly family dispute between Casey Kasem's children and their stepmom over access to their ailing father appears to be largely over.
In a Los Angeles Superior Court hearing Friday, attorneys for Kasem's daughter, Julie, 38, told a judge that she was withdrawing her request for legal control
of her father's healthcare as part of a confidential visitation agreement.
"It's been resolved," Julie's attorney Andrew Katzenstein told PEOPLE following the hearing. "We're glad the case was able to settle."
Charles Kreindler, an attorney for stepmom Jean Kasem, stated: "Jeannie is very happy that the court proceeding has been dismissed and that a settlement agreement has been reached with regard to visitation. Jeannie is about to celebrate her 34th anniversary with Casey tomorrow, and his care, dignity, well-being and happiness are of primary importance."
Kasem's three kids – Kerri, 41, Mike, 40, and Julie – had alleged that Jean, 59, had cut off all access
to their father, 81, since this past summer. In court papers filed in October, Jean fired back
, saying that due to unspecified family drama, visits with their dad would be "intolerable and unpleasant" for the bedridden star, although a court-ordered doctor eventually determined he indeed wanted to see his children.
The famed American Top 40
host, who is currently hospitalized, has advanced Parkinson's disease.
"For me, this matter is over with," Mike Kasem told PEOPLE outside the courtroom. "I just pray that my father's younger brother will get to say goodbye to him. It'll be great for them to see each other."
Mike, in addition to a lawyer for daughter Kerri, declined to specify why Kasem has been hospitalized.
Troy Martin, Kerri's attorney, clarified that the settlement reached applies only to Julie and Mike, but not his client.
"We think the visitation terms are too restrictive," Martin said after the hearing. "There hasn't been an agreement reached between Kerri and Jean. It could require us to file another conservatorship. We're still in negotiations."