You can always have your <logic:present> in the same page as the one that shows the search options? In this scenario when you are viewing the page for the first time when the search results are absent you can 'hide' the same using a <logic:present>. The next time when you get back to the same with the results the same will get displayed based on the presentation you enclose within the logic tags.
The choice is always dependant on the requirements. I do not see any restrictions from your question. If you want to use frameset/frame and/or multiple pages for displaying the search criteria/search results you are free to do so. If you want to use the same page for the same, you are welcome again! :-)
It is for you to decide. If you ask me I'd rather use the same jsp page for both i.e. the search criteria as well as the search results also showing the criterai the search is based on. Why use multipleof JSP's when you can seggregate common functionality, after all the whole application will be more maintainable too, right?
N.B.: Your choice ought to depend more on your requirements.
subject: Struts 1 :Using logic:present to load a JSP Page