Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval

Tetsutaro Shibata

DOI: http://dx.doi.org/10.12775/TMNA.2000.023

Abstract


We consider the perturbed elliptic Sine-Gordon ODE with two
positive parameters $\mu$ and $\lambda$, and show the existence of solutions
which have $2n$ multiple interior layers for $\lambda \gg 1$. We also determine
the location of multiple interior layers as $\lambda \to \infty$.

Keywords


Multiple interior layers; Sine-Gordon; two-parameter

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