Multiple solutions of boundary value problem
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Abstract
By means of variational structure and $ Z_2 $ group index theory, we obtain multiple solutions of boundary value problems for second-order ordinary differential equations
$ \begin{cases} & - (ru')' + qu = \lambda f(t, u),\qquad 0 < t < 1 \\ & u'(0) = 0 = \gamma u(1)+ u'(1), \qquad \text{ where } \gamma \geq 0. \end{cases} $
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Li, Y., Shu, X., & Xu, Y. (2006). Multiple solutions of boundary value problem. Tamkang Journal of Mathematics, 37(2), 149–154. https://doi.org/10.5556/j.tkjm.37.2006.159
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