The University of California at Los Angeles, which won a court battle in May to obtain the papers of the late composer Igor Stravinsky, has withdrawn its $1.5 million offer in the face of continued protests and a legal appeal from the Stravinsky children, and the death of the composer's widow.

UCLA had been awarded Stravinsky's manuscripts and other documents by a Manhattan judge last May, even though the University of Texas at Austin outbid UCLA by $500,000. Stravinsky's widow, who died recently, favored UCLA while the three children favored Texas.

Morton M. Maneker, an attorney representing the children, said today that he believes the Texas bid will now be accepted since it is the only existing offer.

Maneker said that in a letter dated Nov. 1, UCLA informed the trustees of the composer's estate that it will fight for the papers no further.

"The substantial uncertainty as to the conditions and the time constraints under which we would be operating" are too great, UCLA said.

The dispute over the sale of the papers to other than the highest bidder made legal history earlier this year when a New York probate judge said that the University of Texas' higher bid, "though a relevant consideration . . . was not a compelling factor or an overriding one because of the nature of the assets as a national treasure. . ."

The judge ruled that UCLA was the proper repository for the documents.