Existence results for singular integral equations of Fredholm type. (English) Zbl 0973.45002

Agarwal, R. P.; O’Regan, D.

Appl. Math. Lett. 13, No. 2, 27-34 (2000).

The authors first prove the existence of one (or more) nonnegative solutions to the nonlinear singular integral equation \[ y(t)=\theta(t)+\int^1_0 k(t,s)[g(y(s))+h(y(s))]ds \] where \(g>0\) and \(t\in [0,1]\). Next, an illustrative example is given. Finally, the authors discuss the nonsingular case \(g=0\) of the above equation.

Reviewer: K.C.Gupta (Jaipur)

MSC:

45G05

Singular nonlinear integral equations

Keywords:

existence; nonnegative solutions; nonlinear singular integral equation

References:

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