1. Take out the parentheses on the class declaration line:

2. You've got double braces at the beginning and end of the class. Take one
out in each place.

public class SmallestInteger
{

BTW, when you correct these two, you'll find about 6 other syntax errors.

Lee Weiner
lee AT leeweiner DOT org

[snip code]

I have not tested but cleaned up all your compiler errors. You may want
to compare to your version. I am not testing because it is your class
assignment being done on a Sunday night.

import java.util.Scanner;
public class SmallestInteger
{
    // procedures to find smallest integer from user inputs
    public void compareNumbers()
    {
        Scanner Input = new Scanner (System.in);

        int numberCounter     = 0;    // number of data to be compared
        int inputNumber1     = 0;    // number entered by user for comparison
        int inputNumber2     = 0;    // number entered by user for comparison
        int smaller            = 0;    // the smallest number

        // requests the user to enter an integer for comparison
        System.out.printf("Please specify the number of integers for
comparison or enter -1 to exit:%d",
                            numberCounter);
        numberCounter = Input.nextInt();    // stores the user input as    numberCounter

        // loop until sentiel value is entered
        while (numberCounter!= -1)
        {
            // requests the user to enter a number for comparison
            System.out.printf("\n\nPlease enter number for
comparison:%d",inputNumber1);
                    inputNumber1 = Input.nextInt();    // stores the input by the
                                                    // user as inputNumber1
            numberCounter--;// decrements the counter by one

            // loops when numberCounter remains positive
             while (numberCounter==0)
            {
                // requests the user to enter a number for comparison
                System.out.printf("\n\nPlease enter next number for
comparison:%d",inputNumber2);
                inputNumber2 = Input.nextInt();        // stores the input by
                                                    // the user as inputNumber2
                numberCounter--;                    // decrements the counter by one

                // informs user about number of data left to input
                System.out.printf("\n\n%d numbers left\n\n", numberCounter);

                // compares the number entries
                // in case of inputNumber1 larger or equal to inputNumber2
                if (inputNumber1>=inputNumber2)
                {
                    smaller=inputNumber2;// stores inputNumber2 as smaller
                }
                // in case of inputNumber1 smaller than inputNumber2
                else if(inputNumber1<inputNumber2)
                {
                    smaller=inputNumber1;// stores inputNumber1 as smaller
                }
                // requsts the user to enter the next number for comparison
                System.out.printf("\n\nPlease enter next number for
comparison:%d",inputNumber1);
                inputNumber1= Input.nextInt();// stores input as inputNumber1
                numberCounter--;

                // informs user about number of data left to input
                System.out.printf("\n\n%d numbers left\n\n",numberCounter);
            }
            // outputs the smallest number from comparison
            System.out.printf("\n\nThe smallest number is:%d",smaller);

            System.out.println("\n\nThanks for your time!\n\n");
        }
        System.out.println("Program terminated\n\n");
    }
}