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研究生:陳坤傑
研究生(外文):Kun-Chien Chen
論文名稱:關於Opial型式不等式的研究
論文名稱(外文):A note on an Opial type inequality
指導教授:楊國勝楊國勝引用關係
指導教授(外文):Gou-Sheng Yang
學位類別:碩士
校院名稱:淡江大學
系所名稱:數學學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:1999
畢業學年度:87
語文別:中文
論文頁數:37
中文關鍵詞:Opial 不等式Holder 不等式
外文關鍵詞:Opial inequalityHolder inequality
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目錄 :
1. 關於Opial型式不等式的研究
1.1 序論 .....………………………………………………..1
1.2 主要結果 …...…………………………………………4
1.3 定理 1 .....…………………….……………………….4
1.4 定理 2 .………………………………….…………….8
1.5 參考文獻 ……………….……………...……………18
2. A note on an Opial type inequality
2.1 Introduction ……………….…………… ..…………20
2.2 Main results .………………………………………...22
2.3 Theorem 1 ..………………………………………….22
2.4 Theorem 2 ……………..…………………………….26
2.5 References ..……………………...…………………..34

References
1.P. R. Beesack and K. M. Das, Extensions of Opial’s inequality, Pacific j. Math. 26(1968),215-232.
2.K. M. Das, An inequality similar to Opial’s inequality, Proc. Amer. Math. Soc.22 (1969),258-261.
3.A. L. Edelson and J. D. Schuur, Nonoscillatory solution of (rx(n))(n) f(t,x)x=0, Pacific J. Math. 109(1983),313-325.
4.A. M. Fink, On Opial’s inequality for f(n), Proc. Amer. Math. Soc.115(1992),177-181.
5.C. H. Fitzgerald, Opial-type inequality that involve higher order derivatives, in‘‘General inequality,’’4th ed., pp. 25-36, W. Walter, Basel 1984.
6.L. Ju-Da , Opial-type inequalities involving several higher order derivatives, J. Math. Anal. Appl. 167(1992),98-110.
7.E. R. Love, Inequalities like Opial’s inequality, in ‘‘Rocznik Naukowo-
Dydaktyczny Wsp W Krakowie Zeszyt 97,’’ Prace Matematyczne, Vol. XI, pp. 109-118,1985.
8.D. S. Mitrinović,‘‘analytic Inequalities,” Springer-Verlag, Berlin/New York, 1970.
9.J. Myjak, Boundary value problems for nonlinear differential and difference equations of the second order, Zeszyty Nauk. Univ. Jagellon Prace Mat. 15(1971), 113-123.
10.C. Olech, A simple proof of a certain result of Z. Opial, Ann.Polon Math.8(1960), 61-63.
11. Z. Opial, Sur une inegalite, Ann. Polon Math.8(1960),29-32.
12. B. G. Pachpatte, On Opial-type integral inequalities, J. Math. Anal. Appl. 120(1986),547-556.
13.B. G. Pachpatte, On some new generalizations of Opial inequality, Demonstratio Math.19(1986),281-291.
14.B. G. Pachpatte, On certain integral inequalities related to Opial’s inequality, Period. Math. Hungar. 17(1986),119-125.
15.J. Traple, On a boundary value problem for systems of ordinary differential equations of second order, Zeszyty Nauk. Univ. Jagellon Prace Mat. 15(1971) 159-168.
16.D. Willett, The existence-uniqueness theorem for an nth order linear ordinary differential equation, Amer. Math. Monthly 75(1968), 174-178.
17. P. Y. H. Pang and R. P. Agarwal, On an Opial type inequality due to Fink, J. Math. Anal. Appl. 196 (1995),748-753..
18. B. G. Pachpatte, On Opial-type inequalities involving higher Order derivatives, J. Math. Anal. Appl. 190(1995),763-773.

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