If we only talk about the requirements of an ellipse, when a > b, the focus of the ellipse is on the X axis, when a < b, the focus of the ellipse is on the Y axis, and when a=b, the ellipse becomes a circle.
So if the title doesn't say a > b, as far as the ellipse itself is concerned, a < b is completely acceptable. This just makes the focus of the ellipse on the y axis.