Multiple solutions of boundary value problem
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Published:2006-06-30
Issue:2
Volume:37
Page:149-154
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ISSN:2073-9826
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Container-title:Tamkang Journal of Mathematics
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language:
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Short-container-title:Tamkang J. Math.
Author:
Li Yongjin,Shu Xiaobao,Xu Yuantong
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} $
Publisher
Tamkang Journal of Mathematics
Subject
Applied Mathematics,General Mathematics