Summary
Let there be given a system of n nonlinear ordinary differential equations of the form xy′=f(x, y). Here x is a complex variable, y is an n-column vector and f(x, y) is an n-column vector whose components are holomorphic functions of (x, y) at (0, 0) and vanish at x=0, y=0. In the case when the Jacobian matrix fy(x, y) is reduced to the zero matrix at (0, 0), we shall study how to construct an analytic expression for a general solution under AssumptionsI andII.
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Entrata in Redazione il 28 ottobre 1968.
This paper was partially based on MRC Technical Summary Reports Nos.641 and760 at the Mathematics Research Center, US Army, Madison, University of Wisconsin.
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Iwano, M. A general solution of a system of nonlinear ordinary differential equationsxy′=f(x, y) in the case whenf y(0, 0) is the zero matrix. Annali di Matematica 83, 1–42 (1969). https://doi.org/10.1007/BF02411158
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DOI: https://doi.org/10.1007/BF02411158