TY - JOUR
T1 - Existence results of Brezis-Browder type for systems of Fredholm integral equations
AU - Agarwal, Ravi P.
AU - O'Regan, Donal
AU - Wong, Patricia J.Y.
PY - 2011
Y1 - 2011
N2 - In this article, we consider the following systems of Fredholm integral equations: & Iquestion presented Using an argument originating from Brezis and Browder [Bull. Am. Math. Soc. 81, 73-78 (1975)] and a fixed point theorem, we establish the existence of solutions of the first system in (C[0, T]) n, whereas for the second system, the existence criteria are developed separately in (Cl[0,∞)) n as well as in (BC[0,∞)) n. For both systems, we further seek the existence of constant-sign solutions, which include positive solutions (the usual consideration) as a special case. Several examples are also included to illustrate the results obtained.
AB - In this article, we consider the following systems of Fredholm integral equations: & Iquestion presented Using an argument originating from Brezis and Browder [Bull. Am. Math. Soc. 81, 73-78 (1975)] and a fixed point theorem, we establish the existence of solutions of the first system in (C[0, T]) n, whereas for the second system, the existence criteria are developed separately in (Cl[0,∞)) n as well as in (BC[0,∞)) n. For both systems, we further seek the existence of constant-sign solutions, which include positive solutions (the usual consideration) as a special case. Several examples are also included to illustrate the results obtained.
KW - Brezis-Browder arguments
KW - Constant-sign solutions
KW - System of Fredholm integral equations
UR - https://www.scopus.com/pages/publications/84868111258
U2 - 10.1186/1687-1847-2011-43
DO - 10.1186/1687-1847-2011-43
M3 - Article
SN - 1687-1839
VL - 2011
JO - Advances in Difference Equations
JF - Advances in Difference Equations
M1 - 43
ER -