Boundary Value Problems (Jan 2011)

Monotone and convex positive solutions for fourth-order multi-point boundary value problems

  • Chunfang Shen,
  • Liu Yang,
  • Weiguo Zhang

Journal volume & issue
Vol. 2011, no. 1
p. 21

Abstract

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Abstract The existence results of multiple monotone and convex positive solutions for some fourth-order multi-point boundary value problems are established. The nonlinearities in the problems studied depend on all order derivatives. The analysis relies on a fixed point theorem in a cone. The explicit expressions and properties of associated Green's functions are also given. MSC: 34B10; 34B15.

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