JQuery UI Datepicker loses focus when selecting date with mouse

Subscribe to the onClose or the onSelect event:

$("#someinput").datepicker(
{
    // other options goes here
    onSelect: function ()
    {
        // The "this" keyword refers to the input (in this case: #someinput)
        this.focus();
    }
});

Or in the case of onClose:

$("#someinput").datepicker(
{
    onClose: function ()
    {
        this.focus();
    }
});