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Branching of solutions of the perturbed Lagrange problem and nonexistence of single-valued integrals - MaRDI portal

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Branching of solutions of the perturbed Lagrange problem and nonexistence of single-valued integrals (Q1073588)

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scientific article; zbMATH DE number 3945403
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English
Branching of solutions of the perturbed Lagrange problem and nonexistence of single-valued integrals
scientific article; zbMATH DE number 3945403

    Statements

    Branching of solutions of the perturbed Lagrange problem and nonexistence of single-valued integrals (English)
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    1985
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    It is shown that there is branching of the solution of the perturbed Lagrange case along contour \(\Gamma\) in the complex domain, where \(\Gamma\) is the boundary of periods of the meromorphic perturbing function. A theorem containing nonexistence in the complex domain of a single-valued analytic integral independent of the energy integral, is proved.
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    nonexistence of single-valued integrals
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    branching of the solution
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    perturbed Lagrange case
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    boundary of periods
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    meromorphic perturbing function
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    single-valued analytic integral
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    energy integral
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