Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Existence theorems for higher order boundary value problems
HTML articles powered by AMS MathViewer

by Keith Schrader and S. Umamaheswaram PDF
Proc. Amer. Math. Soc. 47 (1975), 89-97 Request permission

Abstract:

In this paper the differential equation ${y^{(n)}} = f(x,y)$ and associated boundary conditions ${y^{(r)}}({x_i}) = {y_{ir}}$ for $i = 1,2, \cdots ,k$ and $r = 0,1, \cdots ,\lambda (i) - 1$ where $\lambda (1) + \lambda (2) + \cdots + \lambda (k) = n$ are considered. Sufficient conditions on $f$ are given to insure the existence of a solution to this $k$ point boundary value problem. In the special cases when $k = 2$ or $k = 3$ sufficient conditions on $f$ are given to insure both uniqueness and existence of solutions for certain of the boundary value problems.
References
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 89-97
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0352592-4
  • MathSciNet review: 0352592