A Los Angeles father who police believe stabbed his young sons to death before turning the blade on himself remains hospitalized.

Los Angeles Police Officer Matthew Ludwig said Thursday that the man is still in the hospital and will be arrested if he survives his wounds.

His name hasn't been released.

Meanwhile, the Los Angeles County Coroner's Office identified his three children as 8-year-old Alexander Fuentes, 9-year-old Juan Fuentes and 10-year-old Luis Fuentes.

A furniture store owner found the boys' bodies in the back of an SUV early Wednesday morning. Their father was in the front seat bleeding from stab wounds to his chest. A knife was in the passenger seat.

Ludwig says detectives believe the father is the one who killed the boys, and there are no other suspects.