Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems

Martin Bohner; Ravi P. Agarwal; Patricia J. Y. Wong

doi:10.1017/S0013091500020307

Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems

Martin Bohner
, Ravi P. Agarwal
, Patricia J. Y. Wong

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the following boundary value problem where λ > 0 and 1 ≤ p ≤ n -1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.

Original language	American English
Journal	Proceedings of the Edinburgh Mathematical Society
DOIs	https://doi.org/10.1017/S0013091500020307
State	Published - Jan 1 1999

Keywords

boundary value problems
examples
positive solutions
special cases
values

Disciplines

Mathematics
Statistics and Probability

Access to Document

10.1017/S0013091500020307License: Unspecified

https://doi.org/10.1017/S0013091500020307

Cite this

@article{693de2d647c846a69b49dd363c1d09a8,

title = "Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems",

abstract = " We consider the following boundary value problem where λ > 0 and 1 ≤ p ≤ n -1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.",

keywords = "boundary value problems, examples, positive solutions, special cases, values",

author = "Martin Bohner and Agarwal, \{Ravi P.\} and Wong, \{Patricia J. Y.\}",

year = "1999",

month = jan,

day = "1",

doi = "10.1017/S0013091500020307",

language = "American English",

journal = "Proceedings of the Edinburgh Mathematical Society",

}

TY - JOUR

T1 - Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems

AU - Bohner, Martin

AU - Agarwal, Ravi P.

AU - Wong, Patricia J. Y.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - We consider the following boundary value problem where λ > 0 and 1 ≤ p ≤ n -1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.

AB - We consider the following boundary value problem where λ > 0 and 1 ≤ p ≤ n -1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.

KW - boundary value problems

KW - examples

KW - positive solutions

KW - special cases

KW - values

UR - https://scholarsmine.mst.edu/math_stat_facwork/137

UR - https://doi.org/10.1017/S0013091500020307

U2 - 10.1017/S0013091500020307

DO - 10.1017/S0013091500020307

M3 - Article

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

ER -

Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Fingerprint

Cite this