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Finding the solutions of constant sign of ordinary differential equations

✍ Scribed by V.Ya. Gol'din; N.N. Kalitkin

Publisher: Elsevier Science
Year: 1966
Weight: 136 KB
Volume: 6
Category: Article
ISSN: 0041-5553
DOI: 10.1016/0041-5553(66)90044-9

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Moreover, any solution of (0.1) satisfying (0.3) can be constructed as a convergent series of iterated integrals, and the dimension of the manifold 9 S of such solutions is equal to the number of certain exponentials (exponentials e q j (x) , see section 1.2), which are decreasing in the whole secto