The phrase "a problem illustrated by" is correct and usable in written English.
You can use it when you want to refer to a specific issue that is exemplified or demonstrated by a particular example or case.
Example: "The challenges of climate change are a problem illustrated by the increasing frequency of extreme weather events."
Alternatives: "a problem exemplified by" or "a problem demonstrated by".
I'd argue that there is a much wider problem, a cultural problem, illustrated by Darling's implied parallel with the leadership of RBS before the crash.
The problem is that of reconciling the intuition that certain small changes (replacement of a single part or small portion) preserve identity, with the problem illustrated by the sandals example of §2.5.
The talc litigation may solve the demographic problem illustrated by the study's finding of flat mesothelioma rates for women over the past several decades.
In this article, we will give a brief overview of some proposed mechanisms that address each of the problems illustrated by the above two scenarios.
Eurosceptics, libertarians, betrayed unionists – all found their problems illustrated by the piece and all applauded it.
The Double Jeopardy Clause of the Fifth Amendment is stated in brief compass: "[N]or shall any person be subject for the same offence to be twice put in jeopardy of life or limb". But this deceptively plain language has given rise to problems both subtle and complex, problems illustrated by no less than eight cases argued here this very Term.
The problems illustrated by this team's experience are encapsulated by Michael DeBakey's famous comment: 'All the circumstances of war surgery thus do violence to civilian concepts of traumatic surgery' - a statement that remains as true today as it did in 1942 when he developed the first Mobile Army Surgical Hospitals [ 7].
That this potential problem is an actual problem is illustrated by the data shown in Fig. 3.
In contrast to some optimistic claims made by commercial vendors, off-target effects remain a widespread problem, as illustrated by a recent large-scale screening in which the effects of over 160000 constructs from three libraries (at an average of ∼7 RNAi constructs per human gene) on 58 cellular phenotypes were tested (Collinet et al., 2010).
