Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (3): 247-255.
• Articles • Previous Articles Next Articles
Online:
Published:
Abstract:
In this paper,we consider the boundary value problems of higher order ordinary differentinal equations.By using the monotone iterative technique, some existence and uniqueness theorms for solutions are obtained.
Key words: Ｔｗｏｐｏｉｎｔｓｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓ, Ｍｉｘｅｄ ｍｏｎｏｔｏｎｅｏｐｅｒａｔｏｒｓ, Ｃｏｕｐｌｅｄ ｓｏｌｕｔｉｏｎｓ．
CLC Number:
Hong Shihuang Hu Shigeng. Existence and Uniqueness of Solutions for Boundary Value Problems of Higher Order Ordinary Differential Equations[J].Acta mathematica scientia,Series A, 1999, 19(3): 247-255.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y1999/V19/I3/247
１ ＬａｄｄｅＧＳ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ，ＶａｔｓａｌａＡＳ．Ｍｏｎｏｔｏｎｅｉｔｅｒａｔｉｖｅｔｅｃｈｎｉｑｕｅｓｆｏｒｎｏｎｌｉｎｅａｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＰｉｔｍａｎＰｕｂｌｉｓｈｉｎｇ，Ｂｏｓｔｏｎ，１９８５ ２ Ｋｈａｖａｎｉｎ Ｍ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ．Ｔｈｅｍｅｔｈｏｄｏｆｍｉｘｅｄｍｏｎｏｔｏｎｙａｎｄｆｉｒｓｔｏｒｄｅｒｄｉｆｆｅｒｅｎｔｉａｌｓｙｓｔｅｍｓ．ＮｏｎｌｉｎｅａｒＡｎａｌ，１９８６，９：８７３－８７７ ３ Ｈｅｉｋｋｉｌ¨ａＳ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ，ＬｅｅｌａＳ．Ａｐｐｌｉｃａｔｉｏｎｓｏｆｍｏｎｏｔｏｎｅｔｅｃｈｎｉｑｕｅｓｔｏｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗｉｔｈｄｉｓｃｏｎｔｉｎｕｏｕｓｒｉｇｈｔｈａｎｄｓｉｄｅ．ＤｉｆｆＩｎｔｅｇｒａｌＥｑｕｓ，１９８８，１：２８７－２９７ ４ Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ，ＬｅｅｌａＳ，ＦａｒｚａｎａＡ．Ｍｃｒｎｅｉｍｐｒｏｖｅｄｇｅｎｅｒａｌｉｚｅｄｑｕａｓｉｌｉｎｅａｒｉｚａｔｉｏｎ ｍｅｔｈｏｄ．ＮｏｎｌｉｎｅａｒＡｎｏｌ，１９９５，２４：１６２７－１６３７ ５ Ｈｅｉｋｋｉｌ¨ａＳ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ．ＯｎｔｈｅｓｅｃｏｎｄｏｒｄｅｒｍｉｘｅｄｑｕａｓｉｍｏｎｏｔｏｎｅｐｅｒｉｏｄｉｃｂｏｕｎｄａｒｙｖａｌｕｅｓｙｓｔｅｍｓｉｎｏｒｄｅｒｅｄＢａｎａｃｈｓｐａｃｅｓ．ＮｏｎｌｉｎｅａｒＡｎｏｌ，１９９３，２０：１１３５－１１４４ ６ ＹｕｂｏＣｈｅｎ，ＷａｎＺｈｕａｎｇ．Ｏｎｍｏｎｏｔｏｎｅｉｔｅｒａｔｉｖｅｍｅｔｈｏｄｆｏｒｐｅｒｉｏｄｉｃｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓｏｆｎｏｎｌｉｎｅａｒｉｎｔｅｇｒｏｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＮｏｎｌｉｎｅａｒＡｎａｌ，１９９４，２２：２９５－３０３ ７ ＢａｉｎｏｖＤＤ，ＨｒｉｉｓｔｏｖａＳＧ．ＭｏｎｏｔｏｎｅＩｔｅｒａｔｉｖｅｔｅｃｈｎｉｑｕｅｓｏｆｌａｋｓｈｍｉｋａｎｔｈａｍｆｏｒａｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓｆｏｒｓｙｓ ｔｅｍｓｏｆｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗｉｔｈｍａｘｉｍａ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９５，１９０：３９１－４０１ ８ ＨｒｉｓｔｏｖａＳＧ，ＢａｉｎｏｖＤＤ．ＭｏｎｏｔｏｎｅＩｔｅｒａｔｉｖｅｔｅｃｈｍｎｉｑｕｅｓｏｆｌａｋｓｈｎｉｋａｎｔｈａｍｆｏｒａｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｆｏｒｓｙｓｔｅｍｓｏｆｉｍｐｕｌｓｉｖｅｄｉｆｆｅｒｅｎｔｉａｌｄｉｆｆｅｒｅｎｃｅｅｑｕａｔｉｏｎｓ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９６，１９７：１－１３ ９ ＡｌｂｅｒｔｏＣａｂａｄａ．Ｔｈｅｍｅｔｈｏｄｏｆｌｏｗｅｒａｎｄｕｐｐｅｒｓｏｌｕｔｉｏｎｓｆｏｒｓｅｃｏｎｄｔｈｉｒｄ．Ｆｏｕｒｔｈ，ａｎｄｈｉｇｈｅｒｏｒｄｅｒｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９４，１８５：３０２－３２０ １０ ＡｌｂｅｒｔｏＣａｂａｄａ．Ｔｈｅｍｅｔｈｏｄｏｆｌｏｗｅｒａｎｄｕｐｐｅｒｓｏｌｕｔｉｏｎｓｆｏｒｔｈｉｒｄｏｒｄｅｒｐｅｒｉｏｄｉｃｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９５，１９５：５６８－５８９ １１ 王伟，史希福．三阶常微分方程两点边值问题解的存在性及单调迭代法．数学学报，１９９２，２：２１３－２１９ １２ 胡适耕．非线性分析．华中理工大学出版社，１９９６
Cited