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We construct 2x2-matrix linear problems with a spectral parameter for thePainleve equations I-V by means of the degeneration processes from the ellipticlinear problem for the Painleve VI equation. These processes supplement theknown degeneration relations between the Painleve equations with thedegeneration scheme for the associated linear problems. The degenerationrelations constructed in this paper are based on the trigonometric, rational,and Inozemtsev limits.

New 2x2-matrix linear problems for the Painleve equations