Help Please??? This app compiles but I cant figure out why it wont run!!! - C++ or Other Android Development Languages

Hello all! I am currently in the last few weeks of Intro to Java 8 and my last project is this:
18.14 (Palindromes) A palindrome is a string that is spelled the same way forward and backward. Some examples of palindromes are “radar,” “able was i ere i saw elba” and (if spaces are ignored) “a man a plan a canal panama.” Write a recursive method testPalindrome that returns boolean value true if the string stored in the array is a palindrome and false otherwise . The method should ignore spaces and punctuation in the string.
The program has to be written in Java, because its for a Java 8 Intro class I actually finished the program and compiled it with no problem... But when I run it, I get this:
Error: Main method not found in class Palindrome, please define the main method as:
public static void main(String[] args)
or a JavaFX application class must extend javafx.application.Application
I just can't figure out what I did wrong! I've been going over the code for days and I'm pretty sure this particular app doesn't need a main method for functionality... Any suggestions would be greatly appreciated!!!
Here's my code:
// Palindrome.java
import java.awt.event.*;
import java.awt.*;
import javax.swing.*;
// Palindrome class
public class Palindrome extends JApplet implements ActionListener
{
JLabel prompt;
JTextField input;
// set up GUI
public void init()
{
prompt = new JLabel("Enter a string:");
input = new JTextField(20);
input.addActionListener(this);
Container container = getContentPane();
container.setLayout(new FlowLayout());
container.add(prompt);
container.add(input);
} // end init method
// actionPerformed method
public void actionPerformed(ActionEvent actionEvent)
{
String string = actionEvent.getActionCommand();
char[] copy = new char[string.length() + 1];
int counter = 0;
// loop through the string
for (int index = 0; index < string.length(); index++)
{
// uses charAt method to return character
// at the specified subscript
char character = string.charAt(index);
copy[counter++] = character;
} //end loop
// calls testPalindrome method, if it
// is it displays "Palindrome". If its
// not it displays "Not a palindrome".
if (testPalindrome(copy, 0, counter - 1) == 1)
showStatus("Palindrome");
else
showStatus("Not a palindrome");
} // end actionParformed method
// testPalindrome method, recursively test
// if the array is a palindrome
public int testPalindrome(char array[], int left, int right)
{
while (array== ' ' || array== '.' ||
array== ';' || array== ':' ||
array== '?' || array== '!' ||
array== '-' || array== ',')
left++;
while (array== ' ' || array== '.' ||
array== ';' || array== ':' ||
array== '?' || array== '!' ||
array== '-' || array== ',')
right--;
if (left == right || left > right)
return 1;
else if (array!= array)
return 0;
else
return testPalindrome(array, left + 1, right - 1);
} // end testPalindrome method
} // end Palindrome class
For some reason when I submit this it gets rid of all the formatting and spacing... For that reason, I will attach my file so if you're interested in helping, it'll be much easier to download the java file and see it how it is originally... I really appreciate the help. This program should work. I've tried several ways of changing things around and I just can't get it to work. Please help? I know that I'm probably gonna feel like an idiot when someone finally tells me what I'm missing!!!​

---

Hehe, I've got "bad" news for you, you do need a Main() in every Java program. So just listen to the compiler, do implement:
Code:
public static void main(String[] args) {
// start my code here...
}
in your class and voila.