## Abstract

Let Λ be a linear differential operator on (a, b) of order 2m with leading coefficient possessing an integrable reciprocal. Global C^{m‐1}(a, b) solutions are shown to exist for certain nonlinear multipoint boundary value problems of the form A u = F(u, …, u^{m‐1}, where linear combinations of derivatives through order m – 1 are specified at points interior to (a, b). The associated linear problem is completely solved through the construction of an appropriate Green's function which determines a compact operator G = A^{−1}. The linear eigenvalue problem is examined and a complete orthonormal system exhibited in L^{2}(a, b). Solutions of the nonlinear problem are obtained by exhibiting fixed points for the operator GF.

Original language | English (US) |
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Pages (from-to) | 31-38 |

Number of pages | 8 |

Journal | ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |

Volume | 53 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1973 |

## ASJC Scopus subject areas

- Computational Mechanics
- Applied Mathematics