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Relevant bibliographies by topics / Poincaré-Bohl theorem

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Academic literature on the topic 'Poincaré-Bohl theorem'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Poincaré-Bohl theorem"

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Liu, Chunlian. "Non-resonance with one-sided superlinear growth for indefinite planar systems via rotation numbers." AIMS Mathematics 7, no. 8 (2022): 14163–86. http://dx.doi.org/10.3934/math.2022781.

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<abstract><p>We consider the non-resonance with one-sided superlinear growth conditions for the indefinite planar system $ z' = f(t, z) $ from a rotation number viewpoint, and obtain the existence of $ 2\pi $-periodic solutions by applying a rotation number approach together with the Poincaré-Bohl theorem. We allow that the angular velocity of solutions of $ z' = f(t, z) $ is controlled by the angular velocity of solutions of two positively homogeneous and oddly symmetric systems $ z' = L_i(t, z), i = 1, 2 $ on the left half-plane, which have rotation numbers that satisfy $ \rho(L_

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Fonda, Alessandro, and Andrea Sfecci. "Periodic Bouncing Solutions for Nonlinear Impact Oscillators." Advanced Nonlinear Studies 13, no. 1 (2013). http://dx.doi.org/10.1515/ans-2013-0110.

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AbstractWe prove the existence of a periodic solution to a nonlinear impact oscillator, whose restoring force has an asymptotically linear behavior. To this aim, after regularizing the problem, we use phase-plane analysis, and apply the Poincaré-Bohl fixed point Theorem to the associated Poincaré map, so to find a periodic solution of the regularized problem. Passing to the limit, we eventually find the “bouncing solution” we are looking for.

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Klun, Giuliano. "A generalization of the Poincaré–Bohl theorem for planar domains." Rendiconti del Circolo Matematico di Palermo Series 2, October 12, 2023. http://dx.doi.org/10.1007/s12215-023-00957-6.

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Dissertations / Theses on the topic "Poincaré-Bohl theorem"

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Sfecci, Andrea. "Some existence results for boundary value problems : a promenade along resonance." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4703.

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I present many existence result to many boundary value problems, in particular periodic problems and Neumann elliptic problems. The results use the method of the topological degree theory. In the thesis different problems are treated: planar systems, systems with a singularity, impact oscillators, coupled oscillators and radial elliptic problems.

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Book chapters on the topic "Poincaré-Bohl theorem"

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Rothe, E. "The Poincaré-Bohl theorem and some of its applications." In Mathematical Surveys and Monographs. American Mathematical Society, 1986. http://dx.doi.org/10.1090/surv/023/05.

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