Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F03%3A00000247" target="_blank" >RIV/49777513:23520/03:00000247 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum

Popis výsledku v původním jazyce

The whole thesis is devoted to problems containing so called jumping nonlinearities. This type of nonlinearity can reflect a transition between two media or can model a jump in properties of two media crossing their mutual boundary line. The precise description of the solution set of an ODE periodic problem with an asymmetric nonlinearity is given with respect to all its parameters. The existence of multiple periodic solutions is proved for an ODE periodic problem with a perturbed right-hand side. Bo th previous results are applied to two mathematical models. In the case of the model of a suspension bridge, the importance of the Fucik spectrum is shown, the correspondence of points of resonance and asymptotic bifurcation points is given. Some branch es of the Fucik spectrum for a wave operator are explored using a continuation shooting method. Moreover, some qualitative properties of the Fucik spectrum are explored, which are not observable in the case of ordinary differential operato

Název v anglickém jazyce

Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum

Popis výsledku anglicky

The whole thesis is devoted to problems containing so called jumping nonlinearities. This type of nonlinearity can reflect a transition between two media or can model a jump in properties of two media crossing their mutual boundary line. The precise description of the solution set of an ODE periodic problem with an asymmetric nonlinearity is given with respect to all its parameters. The existence of multiple periodic solutions is proved for an ODE periodic problem with a perturbed right-hand side. Bo th previous results are applied to two mathematical models. In the case of the model of a suspension bridge, the importance of the Fucik spectrum is shown, the correspondence of points of resonance and asymptotic bifurcation points is given. Some branch es of the Fucik spectrum for a wave operator are explored using a continuation shooting method. Moreover, some qualitative properties of the Fucik spectrum are explored, which are not observable in the case of ordinary differential operato

Druh

B - Odborná kniha

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F03%2F0671" target="_blank" >GA201/03/0671: Kvalitativní a numerická analýza nelineárních diferenciálních rovnic</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2003

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

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Počet stran knihy

194

Název nakladatele

Neuveden

Místo vydání

Plzeň

Kód UT WoS knihy

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