Open

<input id="dropdownlist" />
<script>
$("#dropdownlist").kendoDropDownList({
  dataSource: [
    { id: 1, name: "Apples" },
    { id: 2, name: "Oranges" }
  ],
  dataTextField: "name",
  dataValueField: "id",
  index: 1
});

var dropdownlist = $("#dropdownlist").data("kendoDropDownList");
dropdownlist.open();
</script>