Taylor and Russell Armstrong
05/11/2011 at 02:00 PM EDT
The Real Housewives of Beverly Hills
star Taylor Armstrong
and her husband Russell have not split up, her rep confirms exclusively to PEOPLE.
The couple's marital problems were featured during the first season of Bravo's hit, which showed the couple often fighting or in uncomfortable situations while cameras rolled.
"Yes, their relationship is not without trouble," says a source close to Armstrong. "But they're still together. They've gone through therapy and they have issues within their marriage that they're actively working on, but they're both really committed to making their marriage work." Armstrong
, 39, and her husband, 47, were married in 2005 and are parents to daughter Kennedy, 5.
"They love each other and want to be there for their daughter," says the source.
Reports that financial difficulties are the cause of their marital troubles are not true, according to the source.
"It has nothing to do with financial issues," says the friend. "Their issues are personal and they're actively working on solving them."