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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Cabada, Alberto Pouso, Rodrigo López and Minhós, Feliz M. 2009. Extremal solutions to fourth-order functional boundary value problems including multipoint conditions. Nonlinear Analysis: Real World Applications, Vol. 10, Issue. 4, p. 2157.
    Pouso, Rodrigo López and Tomeček, Jan 2007. First- and second-order discontinuous functional differential equations with impulses at fixed moments. Nonlinear Analysis: Theory, Methods & Applications, Vol. 67, Issue. 2, p. 455.
    Lepin, A. Ya. Lepin, L. A. and Ponomarev, V. D. 2007. Some nonlinear boundary value problems for a third-order functional-differential equation. Differential Equations, Vol. 43, Issue. 8, p. 1067.
    Cabada, A. Cid, J. Ángel and Heikkilä, S. 2006. Solvability of discontinuous functional differential systems in l∞(M). The ANZIAM Journal, Vol. 48, Issue. 02, p. 237.
    Cabada, A. Grossinho, M.R. and Minhós, F. 2005. Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order. Nonlinear Analysis: Theory, Methods & Applications, Vol. 62, Issue. 6, p. 1109.
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Existence of solutions of third-order functional problems with nonlinear boundary conditions

  • Alberto Cabada (a1) and Seppo Heikkilä (a2)
Abstract

In this paper some existence results for third-order differential equations with nonlinear boundary value conditions are derived. Functional dependence in the data is allowed. In the proofs we use the method of upper and lower solutions, Schauder's fixed point theorem and results from Cabada and Heikkilä on third-order differential equations with linear and nonfunctional initial-boundary value conditions.

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Copyright
COPYRIGHT: © Australian Mathematical Society 2004
References
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