Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. I. Direct (variational)
We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has a particular form, \(f(u)=u^{3}\), the problem has a unique positive solution that satisfies a conserved integral condition. We study the bifurcation of t...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2002-02-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/709 |