ON THE UNIQUE EXISTENCE OF THE POSITIVE SOLUTION FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS

LIANG ZHAN-DONG

Journal of Systems Science and Mathematical Sciences ›› 1990, Vol. 10 ›› Issue (4) : 335-340.

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Journal of Systems Science and Mathematical Sciences ›› 1990, Vol. 10 ›› Issue (4) : 335-340. DOI: 10.12341/jssms08615
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ON THE UNIQUE EXISTENCE OF THE POSITIVE SOLUTION FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS

  • LIANG ZHAN-DONG
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Abstract

In this paper,under the condition that K(x,y)is continuous and nonnegativeand integral from G K(x,y)dy>0,it is proved that if (\bar{b}-\bar{a})/(\bar{b}+\bar{a})\alpha<1,then equationintegral from G K(x,y)\varphi~α(y)dy=\varphi(x) (α>1)has a unique positive solution.

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LIANG ZHAN-DONG. ON THE UNIQUE EXISTENCE OF THE POSITIVE SOLUTION FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS. Journal of Systems Science and Mathematical Sciences, 1990, 10(4): 335-340 https://doi.org/10.12341/jssms08615
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