### 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) |
---|---|

Pages (from-to) | 389-400 |

Number of pages | 12 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 18 |

Issue number | 2 |

State | Published - Mar 1970 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS.** / Laetsch, Theodore W.

Research output: Contribution to journal › Article

*SIAM Journal on Applied Mathematics*, vol. 18, no. 2, pp. 389-400.

}

TY - JOUR

T1 - EXISTENCE AND BOUNDS FOR MULTIPLE SOLUTIONS OF NONLINEAR EQUATIONS

AU - Laetsch, Theodore W

PY - 1970/3

Y1 - 1970/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0014751842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0014751842&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0014751842

VL - 18

SP - 389

EP - 400

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 2

ER -