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Record Nr. |
UNINA9910879593403321 |
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Autore |
Amster Pablo |
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Titolo |
Topological Methods for Delay and Ordinary Differential Equations : With Applications to Continuum Mechanics / / edited by Pablo Amster, Pierluigi Benevieri |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (220 pages) |
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Collana |
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Advances in Continuum Mechanics, , 2524-4647 ; ; 51 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Differential equations |
Continuum mechanics |
Differential Equations |
Continuum Mechanics |
Mecànica dels medis continus |
Equacions diferencials |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Periodic solutions of Hamiltonian systems with symmetries -- Prescribed energy periodic solutions of Kepler problems with relativistic corrections -- A survey on some existence results for the relativistic pendulum equation -- Recent advances on periodic motions in parallel-plate electrostatic actuators -- Analysis of a mathematical model of competition in a chain of periodic chemostats in series -- Nontrivial solutions of a parameter-dependent Nontrivial solutions of a parameter-dependent -- Branches of forced oscillations for a class of implicit equations involving the 𝚽-Laplacian -- Atypical bifurcation for a class of delay differential equations -- New elements for a theory of chaos topology. |
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Sommario/riassunto |
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This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of |
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existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences. |
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