boundedness of solutions;
nonlinear equations;
Moser's twist theorem;
D O I:
10.1016/S0096-3003(02)00399-5
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The boundedness of all the solutions for nonlinear equation (phi(p)(x'))'+ alphaphi(p)(x(+)) - betaphi(p)(x(-)) +f (x) = e(t) is proved, where alpha(-1/p) + beta(-1/p) = 2w(-1), w is an element of R+ \ Q, f is bounded, e(t) is an element of C-6 is 2pi(p)-periodic. (C) 2002 Published by Elsevier Inc.
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Huang, LH
Chen, YM
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机构:Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Chen, YM
Wu, JH
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机构:Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Huang, Ye-hui
Xu, Zhi-ting
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机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China