"abiding issue" is correct and usable in written English, and it generally means an issue or problem that has existed for a long time or that continues to exist.
You could use it in a sentence such as: "The lack of affordable housing is an abiding issue in many cities."
And that misanthropy, which often feels unearned, even faintly pornographic, is for me an abiding issue with Solondz's work.
The agreement reached with the Labour home secretary Merlyn Rees, which tied firefighters' wages to the upper bracket of skilled workers' earnings, became the abiding issue for Cameron during his four terms as leader of the union.
Collecting data under a good design is introduced early in the course, and discussion of the underlying principles of experimental design is an abiding issue throughout this course.
Their lives and futures are threatened by deeper and more intractable poverty and greater inequalities between the rich and the poor, proliferating conflict and violence, the deadly spread of HIV/AIDS and the abiding issue of discrimination against women and girls.
"Splendor in the Grass" (1961), Kazan's last real hit, which he called "a soap opera turned tragic," dealt again with the abiding issues of his own life: sexual hypocrisy and a destructive father-son struggle.
The stories hardly depict a perfect world, but they do depict a country in which citizens bring strong feelings, deep thought and, in a heartening number of cases, resilient spirits to one of the abiding issues of American life.
Elsewhere, diplomats point to the way a food scare in Japan involving tainted Chinese dumplings was handled calmly by the authorities on both sides, even as hysteria was whipped up by Japan's mass media.Yet beneath the enforced bonhomie, abiding issues remain.
This is not about "manipulation wants" or vapid materialistic wants (such as a new cell phone) but the kind of wants that equate to serious issues and problems they are going through, deep and abiding issues that they really and truly want help with.
Human conduct is Lord's abiding subject.
His remarks will focus on these abiding ethics issues rather than the Senate race.
Commenting on politics as a subject for the theater, Mr. Taccone talked about Mr. Edgar's extensive research into American public life and his abiding interest in issue-led drama and debate.
