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: | , |
---|---|
Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2010
|
Online Access: | http://ndltd.ncl.edu.tw/handle/69559717441010318941 |
id |
ndltd-TW-099FJU00479004 |
---|---|
record_format |
oai_dc |
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 |
collection |
NDLTD |
language |
en_US |
format |
Others
|
sources |
NDLTD |
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 |
work_keys_str_mv |
AT hoyinglung onthesolvabilityofthefourthorderperiodicboundaryvaluedproblematresonance AT héyīnglóng onthesolvabilityofthefourthorderperiodicboundaryvaluedproblematresonance AT hoyinglung yǒuguānsìjiēgòngzhènwèntízhīzhōuqījiědeyánjiū AT héyīnglóng yǒuguānsìjiēgòngzhènwèntízhīzhōuqījiědeyánjiū |
_version_ |
1718045013971042304 |