Existence of positive bounded solutions to a class of neutral integral equations with product perturbations
C-H. Wang, H-S. Ding
College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People’s Republic of China
Received on February 22, 2018
Accepted on April 9, 2018
Communicated by Gaston M. N'Guérékata
Abstract. In this paper, we study the existence of positive bounded solutions for the following nonlinear integral equation with product perturbation:x(t) = g(t, x(t)) [α(t) x(t − β) + ∫−∞ta(t, t − s) f(s, x(s)) ds + h(t, x(t))] , t ∈ R.In addition, a concrete example is given to illustrate our existence theorem. |
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| Keywords: | nonlinear integral equation, positive solution, product perturbation. |
| 2010 Mathematics Subject Classification: 45G10, 34K37. | |