The phrase "a perennial problem of" is correct and usable in written English.
It can be used to describe an issue or challenge that is persistent and recurring over time.
Example: "Climate change is a perennial problem of our society that requires immediate attention and action."
Alternatives: "an ongoing issue of" or "a lasting challenge of".
The same plea is being sounded in towns across northern Jordan, where a perennial problem of water scarcity is turning into a crisis.
Such security would be of great value in Hong Kong, which faces a perennial problem of mainland Chinese migrants crossing illegally into the territory.
This fact, combined with gold's internationally fixed price, produced a perennial problem of profitability, which increased exponentially as the reef dipped away to the south to depths of hundreds, and ultimately thousands, of feet.
In his major work, An Inquiry into the Nature and Causes of the Wealth of Nations (1776), Smith considered a perennial problem of defense management, namely, the increasing expense of war-fighting equipment.
This has only aggravated a perennial problem of arriving at a government subsidy sufficient to meet the service's operating budget and also to fund fleet modernization, track improvements, and other capital developments.
Far from worrying about wolf conservation — as is the case, though controversially, in parts of the western United States — the thinly populated region of Yakutia, like much of the rest of rural Russia, grapples with a perennial problem of excessive predation by wolves.
The graying of audiences for mainstream theater in New York is a perennial problem on the minds of the artistic and marketing staffs.
He began looking into blockchain technology last summer, he said, and realized that it could solve a perennial problem for photographers — proving ownership of their images, tracking down copyright violators, and getting paid.
Pollution is a perennial problem for Houston, which remains one of three areas in Texas that does not comply with federal ozone standards.
Finding locations for new school buildings is a perennial problem because of the lack of available space.
Police officials said finding the money to upgrade buildings is a perennial problem because of debt limits in the city's capital budget as well as competition for funds from agencies like the Board of Education, many of whose own buildings are dilapidated.
