export latex (pdflatex)
run pdflatex on the name of your tex file (once or twice)
run bibtex on the same, but without .tex extension (i think)
bibtex will produce .bbl file
copy the contents of the .bbl file to the end of your .tex (replacing
bibliography command that's already there)
check if the new .tex works, without having .bib file in the folder
send .tex to the publisher
you might need to convert your .eps to .pdf
I believe that many of these files can be already found in LyX temp
folder after successful compilation of your .lyx