Articles with "general semilinear" as a keyword



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Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay

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Published in 2021 at "Journal of Dynamics and Differential Equations"

DOI: 10.1007/s10884-021-10009-1

Abstract: We consider boundary value problems for 1D autonomous damped and delayed semilinear wave equations of the type $$\begin{aligned} \partial ^2_tu(t,x)- a(x,\lambda )^2\partial _x^2u(t,x)= b(x,\lambda ,u(t,x),u(t-\tau ,x),\partial _tu(t,x),\partial _xu(t,x)), \; x \in (0,1) \end{aligned}$$ ∂ t… read more here.

Keywords: general semilinear; hopf bifurcation; bifurcation general; semilinear wave ... See more keywords