Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation

Tetsutaro Shibata

Abstract and Applied Analysis, 2012, vol. 2012, 1-16

Abstract:

We consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. It is known that for a given , there exists a unique solution pair with . We establish the precise asymptotic formulas for bifurcation curve as and to see how the oscillation property of has effect on the behavior of . We also establish the precise asymptotic formula for bifurcation curve to show the difference between and .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:753857

DOI: 10.1155/2012/753857

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