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Multiple Solutions and Its Morse Index for One-Dimensional Nonlinear Problem
Nonlinear problem multiple solutions series expression Morse index
2007/12/11
The multiple solutions for one-dimensional cubicnonlinear problem $u''+u^3=0,u(0)=u(\pi)=0$ are computed, on thebasis of the eigenpairs of $-\phi''_k=\lambda_k \phi_k, \ k=1,2,3\cdots$. There exist t...