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Precise Spectral Asymptotics for Nonlinear Sturm–Liouville Problems

✍ Scribed by Tetsutaro Shibata


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
148 KB
Volume
180
Category
Article
ISSN
0022-0396

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On Spectral Asymptotics for Nonlinear St
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By investigating the asymptotic properties of the eigenfunctions for a general class of nonlinear Sturm᎐Liouville problems, we shall establish a formula for spectral asymptotics.

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✍ Vladislav V. Kravchenko; R. Michael Porter 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB

## Abstract We consider a recently discovered representation for the general solution of the Sturm–Liouville equation as a spectral parameter power series (SPPS). The coefficients of the power series are given in terms of a particular solution of the Sturm–Liouville equation with the zero spectral