Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU149295" target="_blank" >RIV/00216305:26210/23:PU149295 - isvavai.cz</a>
Výsledek na webu
<a href="https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html" target="_blank" >https://ejde.math.txstate.edu/Volumes/2023/65/abstr.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.58997/ejde.2023.65" target="_blank" >10.58997/ejde.2023.65</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
Popis výsledku v původním jazyce
We study the existence, exact multiplicity, and structure of the set of positive solutions to the periodic problem u" = p(t)u + h(t)|u|(lambda) sgn u + mu f (t); u(0) = u(omega), u0(0) = u'(omega), where mu is an element of R is a parameter. We assume that p, h, f is an element of L([0, omega]), lambda > 1, and the function h is non-negative. The results obtained extend the results known in the existing literature. We do not require that the Green's function of the corresponding linear problem be positive and we allow the forcing term f to change its sign.
Název v anglickém jazyce
Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term
Popis výsledku anglicky
We study the existence, exact multiplicity, and structure of the set of positive solutions to the periodic problem u" = p(t)u + h(t)|u|(lambda) sgn u + mu f (t); u(0) = u(omega), u0(0) = u'(omega), where mu is an element of R is a parameter. We assume that p, h, f is an element of L([0, omega]), lambda > 1, and the function h is non-negative. The results obtained extend the results known in the existing literature. We do not require that the Green's function of the corresponding linear problem be positive and we allow the forcing term f to change its sign.

Rok uplatnění
2023
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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