Ravi P. Agarwal, Donal O'Regan, Patricia J. Y. Wong
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 , 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
| Donal O'Regan |
Department of Mathematics, National University of Ireland
| Patricia J. Y. Wong |
School of Electrical and Electronic Engineering
Nanyang Technological University
50 Nanyang Avenue, Singapore 639798, Singapore
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