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

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About: Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 des cription 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 operators. 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 des cription 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 operators. (en)
Title	Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum (en)
skos:prefLabel	Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum (en)
skos:notation	RIV/49777513:23520/03:00000247!RIV/2004/GA0/235204/N
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/03/0671)
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Nečesal, Petr
http://linked.open.../riv/druhVysledku	B - Odborná kniha
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	618121
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/03:00000247
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	the Fucik spectrum;; jumping nonlinearity;; asymmetric nonlinearity;; existence and multiplicity of periodic solutions;; wave operator;; beam operator;; points of resonance;; asymptotic bifurcation points; (en)
http://linked.open.../riv/klicoveSlovo	asymmetric nonlinearity asymptotic bifurcation points beam operator existence and multiplicity of periodic solutions points of resonance wave operator jumping nonlinearity the Fucik spectrum
http://linked.open...ontrolniKodProRIV	[5BF404030ECD]
http://linked.open...i/riv/mistoVydani	Plzeň
http://linked.open...vEdiceCisloSvazku	Neuveden
http://linked.open...i/riv/nazevZdroje	Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	194 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative and numerical analysis of nonlinear differential equations
http://linked.open...UplatneniVysledku	2003
http://linked.open...iv/tvurceVysledku	Nečesal, Petr
number of pages	194 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Neuveden
http://localhost/t...ganizacniJednotka	23520

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