[1] YANG Y S.Fourth-Order Two-Opoint Boundary Value Problem [J].Proc. Amer. Math. Soc.,1988,104:175-180.[2] PINO M A D,MANASEVICH R F.Existence for a Fourth-Order Boundary Value Problem Under a Two-Parameter Nonresonance Condition [J].Proc. Amer. Math. Soc.,1991,112:81-86.[3] BAI Z,WANG H.On Positive Solutions of Some Nonlinear Fourth-Order Beam Equations [J].J. Math. Anal. Appl.,2002,270:357-368.[4] LIU B.Positive Solutions of Fourth-Order Two-Point Boundary Value Problems [J].Appl. Math. Comput.,2004,148:407-420.[5] YAO Q.Existence of n Solutions and/or Positive Solutions to a Semipositone Elastic Beam Equation [J].Nonlinear Anal. TMA,2007,66:138-150.[6] YAO Q.Solvability of a Fourth-Order Beam Equation with All-Order Derivatives [J].Southeast Asian Bulletin of Math.,2008,32:563-571.[7] AGARWAL R P.On Fourth Order Boundary Value Problems Arising in Beam Analysis [J].Differental and Integral Equations,1989,2:91-110.[8] HOPKINS B,KOSMATOV N.Third-Order Boundary Value Problems with Sign-Changing Solutions [J].Nonlinear Anal. TMA,2007,67:126-137.[9] YAO Q.Existence of Solution and Positive Solution to a Class of Nonlinear Second-Order Boundary Value Problems [J].J. of Jishou University:Natural Science,2007,28(3):1-5.[10] YAO Q.Solvability of Discontinuous Third-Order Two-Point Boundary Value Problems [J].Mathematica Applicata (Wuhan),2007,20:458-461.[11] YAO Q.Solvability of Singular Third-Order Three-Point Boundary Value Problems [J].J. of Jishou University:Natural Science,2008,29(2):1-5.[12] CHENG Q,ZHANG D.Fundamentals of Real Variables and Functional Analysis [M].Second Edition.Beijing:Heigher Eduction Press,2003. |