I'm of the belief that different resolutions are not exactly a hindrance to development.
Desktop OSs with resizable windows have been doing this for years.
However of late, the media scene has been flooded reports that have praised Apples singular resolution and aspect as a brilliant anti-fragmentation measure, and raised concerns that Android devices have different resolutions and this will 'fragment' the market. I should note that not all articles are like this, but a great many.
Of course, to take 'full' advantage of a higher resolution an app may have a different display when the resolution increases pas a certain limit (eg. a scroll pane that becomes visible with greater than 800px width).