Soviet composers began to take notice of their young compatriot, enabling Oistrakh to work closely with Myaskovsky
on their concertos in 1939 and 1940, respectively. In addition, his close friendship with Shostakovich
led the composer to write two concertos for the instrument (the first of which Oistrakh played at his, and its, triumphant American premiere in 1955).
The remaining decades of Oistrakh's life were devoted to maintaining the highest possible standards of excellence throughout an exhausting touring schedule (he returned to the U.S. six times in the 1960s), and he began a small but successful sideline career as an orchestral conductor. His death came suddenly in Amsterdam in 1974, during a cycle of Brahms
concerts in which he both played and conducted. Oistrakh's unexpected death left a void in the Soviet musical world which was never really filled.
Throughout his career David Oistrakh was known for his honest, warm personality; he developed close friendships with many of the leading musicians of the day. His violin technique was virtually flawless, though he never allowed purely physical matters to dominate his musical performances. He always demanded of himself (and his students) that musical proficiency, intelligence, and emotion be in balance, regardless of the particular style. Oistrakh felt that a violinist's essence was communicated through clever and subtle use of the bow, and not through overly expressive use of vibrato. To this end he developed a remarkably relaxed, flexible right arm technique, capable of producing the most delicate expressive nuances, but equally capable of generating great volume and projection.
As a teacher, David Oistrakh maintained that a teacher should do no more than necessary to help guide the student toward his or her own solutions to technical and interpretive difficulties. He rarely played during lessons, fearing that he might distract the student from developing a more individual approach, and even encouraged his students to challenge his interpretations. Perhaps the best evidence of the Oistrakh's gift for teaching is that he felt that he gained as much from the teaching experience as his students did.