Constant‐sign solutions for singular systems of Fredholm integral equations |
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| Authors: | Ravi P Agarwal Donal O'Regan Patricia J Y Wong |
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| Institution: | 1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901‐6975, U.S.A.;2. Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;3. KFUPM Chair Professor.;4. Department of Mathematics, National University of Ireland, Galway, Ireland;5. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore |
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| Abstract: | We consider the system of Fredholm integral equations  where T>0 is fixed and the nonlinearities Hi(t, u1, u2, …, un) can be singular at t=0 and uj=0 where j∈{1, 2, …, n}. Criteria are offered for the existence of constant‐sign solutions, i.e. θiui(t)≥0 for t∈0, 1] and 1≤i≤n, where θi∈{1,?1} is fixed. We also include an example to illustrate the usefulness of the results obtained. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | constant‐sign solutions system of Fredholm integral equations singular equations |
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