"the difficulty resides" is correct and usable in written English.
You can use this phrase to describe a situation in which something is challenging or problematic. For example, "The difficulty resides in finding a way to resolve the conflict between the two countries."
The difficulty resides in our inability to reconcile the Crown prosecutor's depiction of him as angry, humiliated and vengeful, with Garner's own observations of him, slouched and shackled in the docks.
The difficulty resides in the characterisation of each species' contribution (dominant and dominated).
The difficulty resides in being able to process the events coming from different kinds of sources.
For the second aspect, the difficulty resides in finding an accurate mapping that transfers unseen data samples into an existing manifold.
The difficulty resides in the status of the dying or terminally ill patient: hovering at the fuzzy border between life and death, we no longer know very well with whom we are dealing a patient, someone moving towards death?
The difficulty resides more in the number of sessions necessary to complete the oral treatment.
As this form of argument appears in philosophy, the interest, and the difficulty, reside not in the movement from premises to conclusions, which is absolutely routine, but in the setting up of the major premises in the kinds of things that are taken as starting points.
As this form of argument appears in philosophy, the interest, and the difficulty, reside not in the movement from premises to conclusions, which is routine, but in the setting up of the major premises that is, in the kinds of things that are taken as starting points.
Although the finite-time stability or stabilization problems of the control systems has received much attention [15, 24, 25], finite-time synchronization of the delayed complex networks has attracted comparatively less attention primarily due to the lack of an appropriate control method, and secondly due to the difficulty residing in the mathematical derivation.
The problem difficulty resides in the lack of reactor local observability at the nominal steady-state.
The real difficulty resides in addressing not a democratic deficit but a participation deficit.
