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Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator(Ⅰ)

Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator(Ⅰ)
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摘要 We give a linear symmetric differential operator L defined by We give a linear symmetric differential operator L defined by
作者 WeiYinYE
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第3期533-542,共10页 数学学报(英文版)
基金 Supported by GNAFACNR the Natural Science Foundation of China Jiangsu Provincial Education Commission
关键词 Linear symmetric differential operator Inverse-definiteness Green function Linear symmetric differential operator Inverse-definiteness Green function
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参考文献9

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  • 2Omari, P., Trombetta, M.: Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems. App. Math. and Comp., 50, 1-21 (1992).
  • 3Nieto, J. J.: Periodic soiutions for third order ordinary differential equations. Comment. Math. Unvi.Carolin, 32, 495-499 (1990).
  • 4Seda, V., Nieto, J. J., Gera, M.: Periodic boundary value problems for nonlinear higher order ordinary differential equations. App. Math. and Comp., 48,71-82 (1992).
  • 5Metezen, G.: Semilinear fourth-order boundary value problems. Bull. Austral. Math. Soc., 24, 101-114(1990).
  • 6Sanchez, L.: Boundary value problems for some fourth order ordinary differential equations. Applicable Anal., 38, 161-177 (1990).
  • 7Dunninger, D. R.: Existence of positive solutions for fourth order ordinary nonlinear problems. Bull. U.M. I. I-B(7), 1129-1138 (1987).
  • 8Portter, M. H., Weinberger, H. F.: Maximum principle in differential equations, Englewood Ciffa, Prentice-Hall, 1967.
  • 9Chow, S. N., Dunninger, D. R., Lasota, A.: A maximum principle for fourth order ordinary differential equations. J. Differential Equations, 14, 101-105 (1973).

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