Acta mathematica scientia,Series A ›› 2002, Vol. 22 ›› Issue (3): 386-390.
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LU Hui-Qin
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国家自然科学基金（１９８７１０４８）资助项目
Abstract:
该文利用锥理论和Ｂａｎａｃｈ 压缩映象原理讨论了一类含参数的非线性算子方程，证明了这类方程解的存在唯一性及其解对参数的连续相依性定理，并给出了对Ｂａｎａｃｈ 空间中含参数的一阶积－微分方程初值问题的应用．
Key words: 锥理论；Ｂａｎａｃｈ 压缩映象原理；积微分方程
CLC Number:
LU Hui-Qin. 含参数的一类非线性算子方程解对参数的连续相依性定理及应用[J].Acta mathematica scientia,Series A, 2002, 22(3): 386-390.
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http://121.43.60.238/sxwlxbA/EN/Y2002/V22/I3/386
［１］ 孙经先．一类非线性算子方程的迭代求解．工程数学学报，１９８９，６（２）：１２－１７ ［２］ 孙经先，刘立山．非线性算子方程的迭代求解及其应用．数学物理学报，１９９３，１３（３）：１４１－１４５ ［３］ ＧｕｏＤａｊｕｎ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ．ＮｏｎｌｉｍｅａｒＰｒｏｂｌｅｍｓｉｎＡｂｓｔｒａｃｔＣｏｎｅｓ．Ｂｏｓｔｏｎ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，１９８８ ［４］ ＤｅｉｍｌｉｎｇＫ．ＮｏｎｌｉｎｅａｒＦｕｎｃｔｉｏｎａｌＡｎａｌｙｓｉｓ．Ｂｅｒｌｉｎ：ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９８５ ［５］ 郭大钧．非线性分析中的半序方法．济南：山东科学技术出版社，２０００ ［６］ ＴａｙｌｏｒＡＥ，ＬａｙＤＣ．ＩｎｔｒｏｄｕｃｔｉｏｎｔｏＦｕｎｃｔｉｏｎａｌＡｎａｌｙｓｉｓ．Ｎｅｗ Ｙｏｒｋ：ＳｅｃｏｎｄＥｄｉｔｉｏｎ，１９８０ ［７］ ＧｕｏＤａｊｕｎ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ Ｖ，ＬｉｕＸｉｎｚｈｉ．ＮｏｎｌｉｎｅａｒＩｎｔｅｇｒａｌＥｑｕａｔｉｏｎｓｉｎＡｂｓｔｒａｃｔＳｐａｃｅｓ．Ｄｏｒｄｒｅｃｈｅｔ：Ｋｌｕｗｅｒ ＡｃａｄｅｍｉｃＰｕｂｌｉｓｈｅｒｓ，１９９６
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