HTML:
<form id="form1" runat="server">
    <div>
        <table border="0" cellpadding="0" cellspacing="0">
            <tr>
                <th>
                    Date1
                </th>
                <th>
                    Date2
                </th>
            </tr>
            <tr>
                <td>
                    <asp:TextBox ID="txtDate1" runat="server" />
                </td>
                <td>
                    <asp:TextBox ID="txtDate2" runat="server" />
                </td>
            </tr>
        </table>
        <asp:Button ID="btnCalculateDate" runat="server" OnClick="CalculateDate" Text="Calculate Date" />
    </div>
    </form>
C#:
protected void CalculateDate(object sender, EventArgs e)
    {
        string date1Day = this.txtDate1.Text.Remove(2);
        string date2Day = this.txtDate2.Text.Remove(2);
        string date1Month = this.txtDate1.Text.Substring(3, 2);
        string date2Month = this.txtDate2.Text.Substring(3, 2);
        string date1Year = this.txtDate1.Text.Substring(6);
        string date2Year = this.txtDate2.Text.Substring(6);
        DateTime d1 = Convert.ToDateTime(date1Month + "/" + date1Day + "/" + date1Year);
        DateTime d2 = Convert.ToDateTime(date2Month + "/" + date2Day + "/" + date2Year);
        if (d1 > d2)
        {
            ClientScript.RegisterStartupScript(this.GetType(), "Alert", "alert('Date1 is greater')", true);
        }
        else if (d1 == d2)
        {
            ClientScript.RegisterStartupScript(this.GetType(), "Alert", "alert('Both are same')", true);
        }
        else
        {
            ClientScript.RegisterStartupScript(this.GetType(), "Alert", "alert('Date2 is greater')", true);
        }
    }
Thank You.