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CONTENTSIntroduction § 1. The work of Lyapunov and Schmidt § 2. Development of the theory of Lyapunov and Schmidt § 3. Implicit operators and the theory of branching § 4. The theory of branching of solutions in the analytic case § 5. Newton's diagram and its application to non-linear equations § 6. Branch equations in two variables § 7. The perturbation of a linear equation by a small non-linear termReferences
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Vaĭnberg et al. (1962) studied this question.
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