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Convergent and divergent solutions of singular partial differential equations with resonance or small denominators - MaRDI portal

Convergent and divergent solutions of singular partial differential equations with resonance or small denominators (Q945582)

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scientific article; zbMATH DE number 5343275
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Convergent and divergent solutions of singular partial differential equations with resonance or small denominators
scientific article; zbMATH DE number 5343275

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    Convergent and divergent solutions of singular partial differential equations with resonance or small denominators (English)
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    12 September 2008
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    Summary: We show the solvability and nonsolvability of a singular nonlinear system of partial differential equations with resonance in a class of functions holomorphic in some neighborhood of the origin. These results are applied to the normal form theory of a singular vector field.
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    solvability and nonsolvability
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