带有参数的某四阶边值问题解的存在性

杨阳; 张吉慧

doi:10.3879/j.issn.1000-0887.2010.03.010

带有参数的某四阶边值问题解的存在性

doi: 10.3879/j.issn.1000-0887.2010.03.010

杨阳^1,2,
张吉慧¹

1.
南京师范大学数学科学学院数学系,南京 210097;2.江南大学理学院,江苏无锡 214122

基金项目: 国家自然科学基金资助项目(10871096);教育部科学技术研究重点资助项目(205056);江苏省研究生创新工程资助项目(CX09B-284Z);南京师范大学优秀博士论文培育计划;江南大学青年基金(2008LQN008)的资助

详细信息

作者简介:
杨阳(1980- ),女,江苏常州人,讲师,博士(Tel:+86-510-85328565,E-mail:yynjnu@126.com);张吉慧(1958- ),男,甘肃人,教授,博士,博士生导师(联系人.Tel:+86-25-86272816;E-mail:zhangjihu@injnu.edu.cn).

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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2009-01-26
- 刊出日期: 2010-03-15

Existence Results for Some Fourth Order Boundary Value Problems With a Parameter

YANG Yang^1,2,
ZHANG Ji-hui¹

1.
Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Nanjing 210097, P. R. China;

摘要

摘要: 延续Yang和Zhang的工作，研究了带有参数的某四阶边值问题非平凡解的存在性．对于此边值问题的非线性项，不改变其在无穷远处的条件,只是改变了在零点处的条件，综合利用临界点理论,收缩性质及流不变集理论，得到了正解、负解及变号解的存在性．
- 边值问题 /
- 临界点 /
- 不变集 /
- 收缩性质
Abstract: A sequel to Yang, Zhang [Nonlinear Anal, 2008, 69:1364-1375.] in which nontrivial solutions for the fourth order boundary value problems are studied. Now under the same conditions near in finity, but different from the conditions near zero, positive, negative, and sign-changing solutions are obtained by combining critical point theory, retracting property and invariant sets.
- boundary value problem /
- critical point /
- invariant sets /
- retracting property

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参考文献(24)

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带有参数的某四阶边值问题解的存在性

doi: 10.3879/j.issn.1000-0887.2010.03.010

作者简介:
杨阳(1980- ),女,江苏常州人,讲师,博士(Tel:+86-510-85328565,E-mail:yynjnu@126.com);张吉慧(1958- ),男,甘肃人,教授,博士,博士生导师(联系人.Tel:+86-25-86272816;E-mail:zhangjihu@injnu.edu.cn).

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Existence Results for Some Fourth Order Boundary Value Problems With a Parameter

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留言板

带有参数的某四阶边值问题解的存在性

doi: 10.3879/j.issn.1000-0887.2010.03.010

作者简介: 杨阳(1980- ),女,江苏常州人,讲师,博士(Tel:+86-510-85328565,E-mail:yynjnu@126.com);张吉慧(1958- ),男,甘肃人,教授,博士,博士生导师(联系人.Tel:+86-25-86272816;E-mail:zhangjihu@injnu.edu.cn).

计量

出版历程

Existence Results for Some Fourth Order Boundary Value Problems With a Parameter

计量

出版历程

目录

作者简介:
杨阳(1980- ),女,江苏常州人,讲师,博士(Tel:+86-510-85328565,E-mail:yynjnu@126.com);张吉慧(1958- ),男,甘肃人,教授,博士,博士生导师(联系人.Tel:+86-25-86272816;E-mail:zhangjihu@injnu.edu.cn).