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Constant-sign solutions of a system of Volterra integral equations

✍ Scribed by Ravi P. Agarwal; Donal O’Regan; Christopher C. Tisdell; Patricia J.Y. Wong

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
333 KB
Volume
54
Category
Article
ISSN
0898-1221

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✦ Synopsis

We consider the following system of Volterra integral equations:

and some of its particular cases that arise from physical problems. Criteria are offered for the existence of one and more constantsign solutions u = (u 1 , u 2 , . . . , 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.

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