Constant-Sign Lp Solutions for a System of Integral Equations

Ravi P. Agarwal; Donal O’Regan; Patricia J.Y. Wong

doi:10.1007/BF03322881

Constant-Sign L^p Solutions for a System of Integral Equations

Ravi P. Agarwal, Donal O’Regan, Patricia J.Y. Wong

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

We consider the following system of integral equations (Formula Presented.) Our aim is to establish criteria such that the above system has a constant-sign solution (u₁, u₂, …, u_n) ∈ (L^p[0, 1])ⁿ, where the integer 1 ≤ p < ∞ is fixed. We shall tackle the case when f is ‘nonnegative’ as well as the case when f is ‘semipositone’. The above problem is also extended to that on the half-line [0, ∞) (Formula Presented.)

Original language	English
Pages (from-to)	195-219
Number of pages	25
Journal	Results in Mathematics
Volume	46
Issue number	3-4
DOIs	https://doi.org/10.1007/BF03322881
Publication status	Published - 1 Nov 2004

Keywords

45G05
45G15
45M20
L solutions
System of integral equations
constant-sign solutions

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10.1007/BF03322881

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title = "Constant-Sign Lp Solutions for a System of Integral Equations",

abstract = "We consider the following system of integral equations (Formula Presented.) Our aim is to establish criteria such that the above system has a constant-sign solution (u1, u2, …, un) ∈ (Lp[0, 1])n, where the integer 1 ≤ p < ∞ is fixed. We shall tackle the case when f is {\textquoteleft}nonnegative{\textquoteright} as well as the case when f is {\textquoteleft}semipositone{\textquoteright}. The above problem is also extended to that on the half-line [0, ∞) (Formula Presented.)",

keywords = "45G05, 45G15, 45M20, L solutions, System of integral equations, constant-sign solutions",

author = "Agarwal, \{Ravi P.\} and Donal O{\textquoteright}Regan and Wong, \{Patricia J.Y.\}",

note = "Publisher Copyright: {\textcopyright} 2004, Birkh{\"a}user Verlag, Basel.",

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T1 - Constant-Sign Lp Solutions for a System of Integral Equations

AU - Agarwal, Ravi P.

AU - O’Regan, Donal

AU - Wong, Patricia J.Y.

PY - 2004/11/1

Y1 - 2004/11/1

N2 - We consider the following system of integral equations (Formula Presented.) Our aim is to establish criteria such that the above system has a constant-sign solution (u1, u2, …, un) ∈ (Lp[0, 1])n, where the integer 1 ≤ p < ∞ is fixed. We shall tackle the case when f is ‘nonnegative’ as well as the case when f is ‘semipositone’. The above problem is also extended to that on the half-line [0, ∞) (Formula Presented.)

AB - We consider the following system of integral equations (Formula Presented.) Our aim is to establish criteria such that the above system has a constant-sign solution (u1, u2, …, un) ∈ (Lp[0, 1])n, where the integer 1 ≤ p < ∞ is fixed. We shall tackle the case when f is ‘nonnegative’ as well as the case when f is ‘semipositone’. The above problem is also extended to that on the half-line [0, ∞) (Formula Presented.)

KW - 45G05

KW - 45G15

KW - 45M20

KW - L solutions

KW - System of integral equations

KW - constant-sign solutions

UR - https://www.scopus.com/pages/publications/33645326008

U2 - 10.1007/BF03322881

DO - 10.1007/BF03322881

M3 - Article

SN - 1422-6383

VL - 46

SP - 195

EP - 219

JO - Results in Mathematics

JF - Results in Mathematics

IS - 3-4

ER -

Constant-Sign L^p Solutions for a System of Integral Equations

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Keywords

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