diff --git a/src/share/classes/com/sun/java/swing/SwingUtilities3.java b/src/share/classes/com/sun/java/swing/SwingUtilities3.java
index fb2700f70b7b7ff9e91cc93ead0b4ba107b98350..1ca240dd743e0f509e52013bba70a76de13837ac 100644
--- a/src/share/classes/com/sun/java/swing/SwingUtilities3.java
+++ b/src/share/classes/com/sun/java/swing/SwingUtilities3.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2002, 2009, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2002, 2010, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -31,13 +31,14 @@ import java.util.Collections;
 import java.util.Map;
 import java.util.WeakHashMap;
 import java.util.concurrent.Callable;
+import java.applet.Applet;
 import java.awt.AWTEvent;
 import java.awt.EventQueue;
 import java.awt.Component;
 import java.awt.Container;
+import java.awt.Window;
 import javax.swing.JComponent;
 import javax.swing.RepaintManager;
-import javax.swing.SwingUtilities;
 
 /**
  * A collection of utility methods for Swing.
@@ -91,7 +92,7 @@ public class SwingUtilities3 {
      */
     public static void setVsyncRequested(Container rootContainer,
                                          boolean isRequested) {
-        assert SwingUtilities.getRoot(rootContainer) == rootContainer;
+        assert (rootContainer instanceof Applet) || (rootContainer instanceof Window);
         if (isRequested) {
             vsyncedMap.put(rootContainer, Boolean.TRUE);
         } else {
@@ -106,7 +107,7 @@ public class SwingUtilities3 {
      * @return {@code true} if vsync painting is requested for {@code rootContainer}
      */
     public static boolean isVsyncRequested(Container rootContainer) {
-        assert SwingUtilities.getRoot(rootContainer) == rootContainer;
+        assert (rootContainer instanceof Applet) || (rootContainer instanceof Window);
         return Boolean.TRUE == vsyncedMap.get(rootContainer);
     }
 
diff --git a/src/share/classes/com/sun/java/swing/plaf/gtk/GTKPainter.java b/src/share/classes/com/sun/java/swing/plaf/gtk/GTKPainter.java
index fa9a5a2fb1547ceafc665b2364101f71bef569d5..57a816932b06a2a35ae1f83f24e100f53e8d6089 100644
--- a/src/share/classes/com/sun/java/swing/plaf/gtk/GTKPainter.java
+++ b/src/share/classes/com/sun/java/swing/plaf/gtk/GTKPainter.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2002, 2007, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2002, 2010, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -399,7 +399,7 @@ class GTKPainter extends SynthPainter {
         }
 
         String detail = "arrow";
-        if (name == "ScrollBar.button") {
+        if ((name == "ScrollBar.button") || (name == "TabbedPane.button")) {
             if (arrowType == ArrowType.UP || arrowType == ArrowType.DOWN) {
                 detail = "vscrollbar";
             } else {
@@ -409,7 +409,7 @@ class GTKPainter extends SynthPainter {
                    name == "Spinner.previousButton") {
             detail = "spinbutton";
         } else if (name != "ComboBox.arrowButton") {
-            assert false;
+            assert false : "unexpected name: " + name;
         }
 
         int gtkState = GTKLookAndFeel.synthStateToGTKState(
@@ -436,7 +436,7 @@ class GTKPainter extends SynthPainter {
         String name = button.getName();
         String detail = "button";
         int direction = SwingConstants.CENTER;
-        if (name == "ScrollBar.button") {
+        if ((name == "ScrollBar.button") || (name == "TabbedPane.button")) {
             Integer prop = (Integer)
                 button.getClientProperty("__arrow_direction__");
             direction = (prop != null) ?
@@ -457,7 +457,7 @@ class GTKPainter extends SynthPainter {
         } else if (name == "Spinner.nextButton") {
             detail = "spinbutton_up";
         } else if (name != "ComboBox.arrowButton") {
-            assert false;
+            assert false : "unexpected name: " + name;
         }
 
         int state = context.getComponentState();
diff --git a/src/share/classes/javax/swing/plaf/synth/SynthTabbedPaneUI.java b/src/share/classes/javax/swing/plaf/synth/SynthTabbedPaneUI.java
index 9daf1e2abc0f82595d3281ca523a3cfee61f8ab9..4c6b446be08ee12b53ff76cde21057c653fd5b2a 100644
--- a/src/share/classes/javax/swing/plaf/synth/SynthTabbedPaneUI.java
+++ b/src/share/classes/javax/swing/plaf/synth/SynthTabbedPaneUI.java
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2002, 2007, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 2002, 2010, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
@@ -914,6 +914,7 @@ public class SynthTabbedPaneUI extends BasicTabbedPaneUI
             UIResource {
         public SynthScrollableTabButton(int direction) {
             super(direction);
+            setName("TabbedPane.button");
         }
     }
 }