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...

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Main Authors: Ho, Yinglung, 何應隆
Other Authors: 郭仲成
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/69559717441010318941
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spelling ndltd-TW-099FJU004790042015-10-13T20:09:33Z http://ndltd.ncl.edu.tw/handle/69559717441010318941 On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance 有關四階共振問題之週期解的研究 Ho, Yinglung 何應隆 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. 郭仲成 2010 學位論文 ; thesis 15 en_US
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description 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.
author2 郭仲成
author_facet 郭仲成
Ho, Yinglung
何應隆
author Ho, Yinglung
何應隆
spellingShingle Ho, Yinglung
何應隆
On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
author_sort Ho, Yinglung
title On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
title_short On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
title_full On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
title_fullStr On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
title_full_unstemmed On the Solvability of the Fourth Order Periodic Boundary Valued Problem at Resonance
title_sort on the solvability of the fourth order periodic boundary valued problem at resonance
publishDate 2010
url http://ndltd.ncl.edu.tw/handle/69559717441010318941
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