On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
碩士 === 輔仁大學 === 數學系研究所 === 99 === The purpose of this paper is to give solvability theorems to －u(4)＋ f(u)u’＋g(x,u) ＝ h in ( 0, 2π) u(i)(0) －u(i)(2π) ＝ 0 , for all 0 ≦ i ≦ 3 when g is allowed to grow surperlinearly in u and in one of directions u → ∞ and u → －∞, and may gr...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2010
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| Online Access: | http://ndltd.ncl.edu.tw/handle/69559717441010318941 |
| Summary: | 碩士 === 輔仁大學 === 數學系研究所 === 99 === The purpose of this paper is to give solvability theorems to
－u(4)＋ f(u)u’＋g(x,u) ＝ h in ( 0, 2π)
u(i)(0) －u(i)(2π) ＝ 0 , for all 0 ≦ i ≦ 3
when g is allowed to grow surperlinearly in u and in one of directions u → ∞
and u → －∞, and may grow linearly in the other.
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