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  • Research Article
  • Open Access

Several Existence Theorems of Monotone Positive Solutions for Third-Order Multipoint Boundary Value Problems

Boundary Value Problems20082007:017951

https://doi.org/10.1155/2007/17951

  • Received: 3 May 2007
  • Accepted: 12 September 2007
  • Published:

Abstract

Using fixed point index theory, we obtain several sufficient conditions of existence of at least one positive solution for third-order -point boundary value problems.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Point Boundary

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Authors’ Affiliations

(1)
College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, China
(2)
College of Mathematics and Science of Information, Hebei Normal University, Shijiazhuang, Hebei, 050016, China

References

  1. Zhang X, Liu L, Wu C: Nontrivial solution of third-order nonlinear eigenvalue problems. Applied Mathematics and Computation 2006,176(2):714–721. 10.1016/j.amc.2005.10.017MATHMathSciNetView ArticleGoogle Scholar
  2. Guo L-J, Sun J-P, Zhao Y-H: Existence of positive solutions for nonlinear third-order three-point boundary value problems . to appear in Nonlinear Analysis: Theory, Methods & ApplicationsGoogle Scholar
  3. Du Z, Ge W, Lin X: Existence of solutions for a class of third-order nonlinear boundary value problems. Journal of Mathematical Analysis and Applications 2004,294(1):104–112. 10.1016/j.jmaa.2004.02.001MATHMathSciNetView ArticleGoogle Scholar
  4. Cabada A, Minhós F, Santos AI: Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions. Journal of Mathematical Analysis and Applications 2006,322(2):735–748. 10.1016/j.jmaa.2005.09.065MATHMathSciNetView ArticleGoogle Scholar
  5. Jiang D, Agarwal RP: A uniqueness and existence theorem for a singular third-order boundary value problem on . Applied Mathematics Letters 2002,15(4):445–451. 10.1016/S0893-9659(01)00157-4MATHMathSciNetView ArticleGoogle Scholar
  6. Anderson D, Avery RI: Multiple positive solutions to a third-order discrete focal boundary value problem. Computers & Mathematics with Applications 2001,42(3–5):333–340.MATHMathSciNetView ArticleGoogle Scholar
  7. Wang J, Gao W, Zhang Z: Singular nonlinear boundary value problems arising in boundary layer theory. Journal of Mathematical Analysis and Applications 1999,233(1):246–256. 10.1006/jmaa.1999.6290MATHMathSciNetView ArticleGoogle Scholar
  8. Paatashvili V, Samko S: Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in . Boundary Value Problem 2005,2005(1):43–71. 10.1155/BVP.2005.43MATHMathSciNetGoogle Scholar
  9. Agarwal RP, Kiguradze I: Two-point boundary value problems for higher-order linear differential equations with strong singularities. Boundary Value Problems 2006, 2006: 32 pages.MathSciNetView ArticleGoogle Scholar

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