The phrase "abandoned the problem" is correct and usable in written English.
You can use it when discussing a situation where someone has decided to stop trying to solve a particular issue or challenge.
Example: "After several failed attempts to find a solution, the team ultimately abandoned the problem and moved on to other projects."
Alternatives: "gave up on the problem" or "disregarded the issue."
The report of Molinari et al (1999) made it unmistakably clear as to why this treatment procedure was abandoned: the problems and acute side effects of IA chemotherapy over a temporal approach were too severe.
At the end of a losing week for him on Iraq, Mr. Bush clearly felt the need to help Prime Minister Tony Blair quell political opposition at home by demonstrating a renewed commitment to Middle East peacemaking and proving that he had not abandoned the Palestinian problem.
Even Dr Haken, who had solved the knot problem finding an algorithm to determine whether a heap of tangled rope could be untangled or had to be cut, the proof of which took three years to write up—announced in 1972 that he was abandoning the map problem.
He wanted to write a magazine article about the problem but abandoned the project after realizing that he could not offer a practical solution.
Chastened by Congress (what else is new?) at the beginning of the George W. Bush administration, OSHA has effectively abandoned the field, even as the problems grows to intolerable proportions in health care facilities and meatpacking plants.
For the past six months, his staff has been preparing to start El Sol del Bronx, or The Bronx Sun, which would have been the only boroughwide Spanish weekly, but he abandoned the idea, citing financial problems.
Dalí told the press it would be "a magical exposition of the problem of life in the labyrinth of time". Nervously, Disney translated, calling it "just a simple story of a girl in search of her real love". For eight months, they worked on it, until Disney, citing postwar financial problems, abandoned the project.
It is believed the artist started painting his fresco - which is considered by some to be his finest work - in 1504 but abandoned the project because of problems arising from his experimental oil painting technique.
I had problems trying to map the data provided and, as I do not like to spend time on that type of technical problem, I abandoned the visualization of the web maps.
