My answer is based on all the expert comments above, but below is the following code that anyone can use to make sure on each postback and on each asynchronous postback the JavaScript code will still be executed.
In my case, I had a user control within a page. Just paste the below code in your user control.
<script type="text/javascript">
var prm = Sys.WebForms.PageRequestManager.getInstance();
prm.add_endRequest(EndRequestHandler);
function EndRequestHandler(sender, args) {
if (args.get_error() == undefined) {
UPDATEPANELFUNCTION();
}
}
function UPDATEPANELFUNCTION() {
jQuery(document).ready(function ($) {
/* Insert all your jQuery events and function calls */
});
}
UPDATEPANELFUNCTION();
</script>