Hi telldurges,
Please refer below sample.
HTML
<div id="page-wrapper1">
    <div class="white-box">
        <div class="row button-box m-t-10 text-center">
            <asp:LinkButton ID="btnUpdatePeriod" Text="Update" OnClick="btnUpdatePeriod_Click"
                CssClass="global btn btn-outline btn-info  " runat="server" CausesValidation="False"><i class="mdi mdi-update"></i> Update</asp:LinkButton>
        </div>
        <div class="table table-responsive" id="myTablePeriod">
            <asp:ScriptManager ID="src" runat="server">
            </asp:ScriptManager>
            <asp:UpdatePanel ID="upnl1" runat="server">
                <ContentTemplate>
                    <table id="myTable_k" class="table table-striped table-bordered">
                        <thead>
                            <tr>
                                <th>
                                    SNo.
                                </th>
                                <th>
                                    Period
                                </th>
                                <th>
                                    Time
                                </th>
                                <th style="display: none">
                                    <div class="checkbox checkbox-info m-0">
                                        <asp:CheckBox ID="chkaddall" runat="server" />
                                        <label class="col-md-12 ">
                                            <strong>Set</strong>
                                        </label>
                                    </div>
                                </th>
                            </tr>
                        </thead>
                        <tbody>
                            <asp:UpdatePanel ID="up1" runat="server" UpdateMode="Always">
                                <ContentTemplate>
                                    <asp:Repeater ID="rpt_TeacherDetails" runat="server">
                                        <ItemTemplate>
                                            <tr id="ItemRow2">
                                                <td>
                                                    <%# Container.ItemIndex + 1 %>
                                                </td>
                                                <td>
                                                    <asp:Label ID="lblPeriods" runat="server" Text='<%# Eval("Periods") %>' />
                                                </td>
                                                <td>
                                                    <asp:TextBox ID="txtTime" CssClass="form-control  input-sm" runat="server" Text='<%# Eval("Time") %>'></asp:TextBox>
                                                </td>
                                                <td style="display: none">
                                                    <div class="checkbox checkbox-info m-0">
                                                        <asp:CheckBox ID="chkstatus" Text=" " runat="server" Checked='<%# Eval("Status").ToString() == "True" %>'
                                                            Required="true" Visible="false" />
                                                    </div>
                                                </td>
                                            </tr>
                                        </ItemTemplate>
                                    </asp:Repeater>
                                </ContentTemplate>
                            </asp:UpdatePanel>
                        </tbody>
                    </table>
                </ContentTemplate>
            </asp:UpdatePanel>
        </div>
    </div>
</div>
Namespaces
C#
using System.Data;
using System.Globalization;
Code
C#
protected void Page_Load(object sender, EventArgs e)
{
    if (!this.IsPostBack)
    {
        DataTable dt = new DataTable();
        dt.Columns.AddRange(new DataColumn[] { 
            new DataColumn("Periods", typeof(string)), 
            new DataColumn("Time", typeof(string)), 
            new DataColumn("Status", typeof(string)) });
        dt.Rows.Add("2", "7:30 AM-8:10 AM");
        dt.Rows.Add("3", "7:30 AM-8:10 AM");
        dt.Rows.Add("4", "8:50 AM-9:30 AM");
        dt.Rows.Add("6", "9:30 AM-10:10 AM");
        dt.Rows.Add("7", "10:10 AM-10:50 AM");
        dt.Rows.Add("8", "10:50 AM-11:30 AM");
        dt.Rows.Add("9", "11:30 AM-12:10 AM");
        dt.Rows.Add("10", "12:10 AM-12:50 AM");
        dt.Rows.Add("11", "12:50 AM-1:30 AM");
        rpt_TeacherDetails.DataSource = dt;
        rpt_TeacherDetails.DataBind();
    }
}
protected void btnUpdatePeriod_Click(object sender, EventArgs e)
{
    CultureInfo culture = new CultureInfo("en-US");
    for (int i = 0; i < rpt_TeacherDetails.Items.Count - 1; i++)
    {
        TextBox txtPrevious = (TextBox)rpt_TeacherDetails.Items[i].FindControl("txtTime") as TextBox;
        TextBox txtCurrent = (TextBox)rpt_TeacherDetails.Items[i + 1].FindControl("txtTime") as TextBox;
        DateTime toTimePrevious = Convert.ToDateTime(txtPrevious.Text.Split('-')[1], culture);
        DateTime fromTimeCurrent = Convert.ToDateTime(txtCurrent.Text.Split('-')[0], culture);
        if (toTimePrevious > fromTimeCurrent)
        {
            Page.ClientScript.RegisterStartupScript(GetType(), "msgbox", " alert('Please enter correct time');", true);
            break;
        }
    }
}