Dyeus's page

"An oathbound paladin swears an oath to eradicate a

certain kind of evil."

"Paladins who take up an oath may make a sacred

promise to their god or temple to perform some specific
and grand action associated with the oath. For example,
an oathbound paladin who takes the Oath of Vengeance
may be tasked with killing the orc warlord who razed
her home city, while a paladin with the Oath against
the Wyrm may be asked to secure a nonaggression pact
with a family of dragons."

"Oath against Undeath

A paladin with this oath vows to restore the natural state of
death to any animate corpse she encounters, and destroy
the undead energy in the process. While a few paladins
who take this oath recognize that not all undead are evil,
others are quite willing to purge neutral and good undead
along with all the evil ones."

"Eradicating a certain kind of evil" seems to me like it would allow you to accept non-evil violations of your oath such as the non-evil undead that was mentioned. Also, the bit about the non-aggression pact with the dragons means you don't have to destroy the target of your oath, as long as you negate any evil it may pose.

And of course, the Oath Against Undead specifically states that not all paladins under that oath would bother with destroying non-evil undead.