Existence and Uniqueness Theorems for Certain Fourth-order Boundary Value Problems

  • Minghe, Pei (Department of Mathematics, Bei Hua University) ;
  • Chang, Sung Kag (Department of Mathematics, Yeungnam University)
  • Received : 2004.02.05
  • Published : 2005.09.23


In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear differential equations.


  1. J. Math. Anal. Appl. v.116 Existence and uniqueness theorems for fourth-order boundary value problems Aftabizadeh, A.R.
  2. Appl. Anal. v.55 A remark on some existence and uniqueness theorems for a fourth order boundary value problem Bonanno, G.;Marano, S.A.
  3. Appl. Anal. v.26 Existence and uniqueness theorems for the bending of an elastic beam equation Gupta, C.P.
  4. Appl. Anal. v.36 Existence and uniqueness theorems for some fourth order fully quasilinear boundary value problems Gupta, C.P.
  5. NSF-CBMS Regional Conference Series in Math. v.40 Topological degree methods in nonlinear boundary problems Mawhin, J.
  6. Kyungpook Math. J. v.41 Existence and uniqueness theorems of solutions for a class of fourth-order boundary value problems Pei, M.;Chang, S.K.
  7. Pro. Amer. Math. Soc. v.77 A uniqueness theorem for a boundary value problem Usmani, R.A.
  8. Pro. Amer. Math. Soc. v.104 Fourth-order two-point boundary value problems Yang Yisong