iPod maker Apple (AAPL) said Monday it settled long-simmering trademark issues with The Beatles' Apple Corps Ltd. company about the use of the name "Apple" and apple logos.

The new settlement replaces the companies' 1991 agreement, and gives Apple Inc. ownership of all the trademarks related to "Apple."

In addition, Apple Inc. will license certain of those trademarks back to Apple Corps for its continued use.

• Click here to view the 1991 agreement between Apple Computer and Apple Corps.

This settlement ends the ongoing trademark lawsuit between the companies, with each paying its own legal costs, and Apple Inc. will continue using its name and logos on iTunes.

Further terms weren't disclosed.

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It was not clear if The Beatles music catalog was part of the deal, and none of the band's songs was available on iTunes as of Monday morning.

That catalog of all Beatles songs, including "Let it Be," "Get Back" and "She Loves You," is the largest holdout from iTunes and other online music services.

"We love the Beatles, and it has been painful being at odds with them over these trademarks," said Steve Jobs, Apple's CEO. "It feels great to resolve this in a positive manner, and in a way that should remove the potential of further disagreements in the future."

Neil Aspinall, manager of Apple Corps, said the company was glad to resolve the dispute.

"The years ahead are going to be very exciting times for us. We wish Apple Inc. every success and look forward to many years of peaceful co-operation with them," he said.