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Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations

✍ Scribed by Tetsutaro Shibata

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
270 KB
Volume
58
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Asymptotic behavior of solutions to the
Asymptotic behavior of solutions to the perturbed simple pendulum problems with two parameters
✍ Tetsutaro Shibata πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

## Abstract We consider the perturbed simple pendulum equation –__u__ β€³(__t__) + __ΞΌ__ |__u__ (__t__)|^__p__ –1^__u__ (__t__) = __Ξ»__ sin __u__ (__t__), __t__ ∈ __I__ ≔ (–__T__, __T__), __u__ (__t__) > 0, __t__ ∈ __I__, __u__ (Β±__T__) = 0, where __p__ > 1 is a constant,__Ξ»__ > 0 and __ΞΌ__ ∈ **R

The effect of the variational framework
The effect of the variational framework on the spectral asymptotics for two–parameter nonlinear eigenvalue problems
✍ Tetsutaro Shibata πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 206 KB

## Abstract We consider the nonlinear two–parameter problem __u__β€³(__x__) + __ΞΌu__(__x__)^__p__^ = __Ξ»u__(__x__)^__p__^, __u__(__x__) > 0, __x__ ∈ __I__ = (0, 1), __u__(0) = __u__(1) = 0, where 1 < __q__ < __p__ < 2__q__ + 3 and __Ξ»__, __ΞΌ__ > 0 are parameters. We establish the three–term spect