I use keyup but it does not fire. I populate innerHtml of div via GetRecords() from webmethod with a table and input text as a search. I click a button GetRecords fires, then webmethod is called. Then I create a table format on c# as table and input text.
function GetRecords() {
PageMethods.GetSavedList(onSucess, onError);
function onSucess(result) {
    document.getElementById('allRecordsDiv').innerHTML = result;
}
function onError(result) {
    alert("error..");
}
}
script side;
$("#mySearchInput").keyup(function () {
alert("aasdasd")
});
c# side;
    [WebMethod]
    [ScriptMethod]
    public static string GetSavedList()
    {
        DataTable dt = DBoperation.GetAllRecords();
        string html = "<table id= \"savedlist\" class=\"table table-hover\">";
        //add header row
        html += "<thead>";
        html += "<tr>  <input class=\"form-control\" id=\"mySearchInput\" type=\"text\" placeholder=\"Search..\"></ tr>";
        html += "<tr>";
        html += "<th> </th>";
        for (int i = 0; i < dt.Columns.Count; i++)
        {
                html += "<th>" + dt.Columns[i].ColumnName + "</th>";
        }
        html += "<th>  </th>";
        html += "</thead>";
        html += "<tbody id=\"mySavedListTable\">";
        //add rows
        for (int i = 0; i < dt.Rows.Count; i++)
        {
            //some rows
        }
        html += "</tbody>";
        html += "</table>";
        return html;
    }
 
    