Constant-sign solutions of a system of Volterra integral equations

Ravi P. Agarwal; Donal O'Regan; Christopher C. Tisdell; Patricia J.Y. Wong

doi:10.1016/j.camwa.2006.10.031

Constant-sign solutions of a system of Volterra integral equations

Ravi P. Agarwal, Donal O'Regan, Christopher C. Tisdell, Patricia J.Y. Wong

Mathematics

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4 Citations (Scopus)

Abstract

We consider the following system of Volterra integral equations: {Mathematical expression} and some of its particular cases that arise from physical problems. Criteria are offered for the existence of one and more constant-sign solutions u = (u₁, u₂, ..., u_n) of the system in (C [0, T])ⁿ. We say u is of constant sign if for each 1 ≤ i ≤ n, θ_i u_i (t) ≥ 0 for all t ∈ [0, T], where θ_i ∈ {1, - 1} is fixed. Examples are also included to illustrate the results obtained.

Original language	English
Pages (from-to)	58-75
Number of pages	18
Journal	Computers and Mathematics with Applications
Volume	54
Issue number	1
DOIs	https://doi.org/10.1016/j.camwa.2006.10.031
Publication status	Published - 1 Jul 2007

Keywords

Constant-sign solutions
Singular Volterra integral equations
System of Volterra integral equations

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP,O'Regan, D,Tisdell, CC,Wong, PJY

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10.1016/j.camwa.2006.10.031

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abstract = "We consider the following system of Volterra integral equations: \{Mathematical expression\} and some of its particular cases that arise from physical problems. Criteria are offered for the existence of one and more constant-sign solutions u = (u1, u2, ..., un) of the system in (C [0, T])n. We say u is of constant sign if for each 1 ≤ i ≤ n, θi ui (t) ≥ 0 for all t ∈ [0, T], where θi ∈ \{1, - 1\} is fixed. Examples are also included to illustrate the results obtained.",

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AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Tisdell, Christopher C.

AU - Wong, Patricia J.Y.

PY - 2007/7/1

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N2 - We consider the following system of Volterra integral equations: {Mathematical expression} and some of its particular cases that arise from physical problems. Criteria are offered for the existence of one and more constant-sign solutions u = (u1, u2, ..., un) of the system in (C [0, T])n. We say u is of constant sign if for each 1 ≤ i ≤ n, θi ui (t) ≥ 0 for all t ∈ [0, T], where θi ∈ {1, - 1} is fixed. Examples are also included to illustrate the results obtained.

AB - We consider the following system of Volterra integral equations: {Mathematical expression} and some of its particular cases that arise from physical problems. Criteria are offered for the existence of one and more constant-sign solutions u = (u1, u2, ..., un) of the system in (C [0, T])n. We say u is of constant sign if for each 1 ≤ i ≤ n, θi ui (t) ≥ 0 for all t ∈ [0, T], where θi ∈ {1, - 1} is fixed. Examples are also included to illustrate the results obtained.

KW - Constant-sign solutions

KW - Singular Volterra integral equations

KW - System of Volterra integral equations

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EP - 75

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 1

ER -

Constant-sign solutions of a system of Volterra integral equations

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Keywords

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