Ravi P. Agarwal, Donal O'Regan, Patricia J. Y. Wong
Abstract:
We consider two systems of Volterra integral equations
where t is in the closed interval
,
or in
the half-open interval
.
By an argument originated from
Brezis and Browder [8], criteria are offered for the existence
of solutions of the systems of Volterra integral equations. We
further establish the existence of constant-sign solutions,
which include positive solutions (the usual consideration) as
a special case. Some examples are also presented to illustrate
the results obtained.
Submitted April 26, 2011. Published August 16, 2011.
Math Subject Classifications: 45B05, 45G15, 45M20.
Key Words: System of Volterra integral equations; Brezis-Browder argument.
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Ravi P. Agarwal Department of Mathematics, Texas A&M University - Kingsville Kingsville, Texas 78363-8202, USA email: agarwal@tamuk.edu | |
Donal O'Regan Department of Mathematics, National University of Ireland Galway, Ireland email: donal.oregan@nuigalway.ie | |
Patricia J. Y. Wong School of Electrical and Electronic Engineering Nanyang Technological University 50 Nanyang Avenue, Singapore 639798, Singapore email: ejywong@ntu.edu.sg |
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