### Abstract

Author proves a general theorem which illustrates the method used to prove the existence of a solution, and points out that this theorem is applicable to a class of two-point boundary value problems and then shows how the results can be shaprened for a subclass of two- point boundary value problems for which the location of the maximum value of the solutions is known a priori. An example is given illustrating how the method may be applied to predict the existence of three solutions of a certain boundary value problem.

Original language | English (US) |
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Pages (from-to) | 389-400 |

Number of pages | 12 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 18 |

Issue number | 2 |

State | Published - Jan 1 1970 |

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### ASJC Scopus subject areas

- Applied Mathematics