The phrase "an analysis of the problem" is correct and usable in written English.
You can use it when discussing or describing a detailed examination or evaluation of a specific issue or challenge.
Example: "In this report, we will provide an analysis of the problem to identify the root causes and potential solutions."
Alternatives: "a study of the issue" or "an examination of the challenge."
Aaron, with no prompting, prepared an analysis of the problem for the principal: what sort of Staples student is a hard-core cheater, what sort is just going along for the ride and how can the school turn around the much larger second group?
De Kock 2013 is an analysis of the problem of externality in Helmholtz's theory of perception.
The proposed scheme makes an analysis of the problem that estimates the degree of separability of the optimization problem.
In this paper we provide an analysis of the problem of the design and optimization of such waveforms.
Although, therefore, we cannot refute the Kantian theory of an a priori intuition, we can remove its grounds one by one through an analysis of the problem.
And even where a simplistic use of ergodicity is eventually unsuccessful, somewhat modified notions prove fruitful in an analysis of the problem and in the search for better solutions.
The railroads and government inspectors have warned on several occasions over the past few years that without the improvements, a fire or serious accident in the tunnels "has the potential to be a catastrophe," as stated in an analysis of the problems submitted to Congress by the three railroads in 1998.
The report sets out an analysis of the problems and recommends: Delaying formal lessons until after a child turns six, to allow them to focus on play-based learning, so those who struggle at the age of four or five are not put off for life.
For an analysis of the problems of NLP see Bazaraa et al.
Kripke's ideas are based on an analysis of the problems involved in Tarski's hierarchy approach.
Evolutionary functional analysis is a form of reverse engineering in that it attempts to reconstruct the mind's design from an analysis of the problems the mind must have evolved to solve" (Buller 2005, 92).
