Positive Fixed Points for Semipositone Operators in Ordered Banach Spaces and Applications

ZengqinZhao; XinshengDu

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Positive Fixed Points for Semipositone Operators in Ordered Banach Spaces and Applications

机译：有序Banach空间中半正算子的正不动点及其应用。

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The theory of semipositone integral equations and semipositone ordinary differential equations has been emerging as an important area of investigation in recent years, but the research on semipositone operators in abstract spaces is yet rare. By employing a well-known fixed point index theorem and combining it with a translation substitution, we study the existence of positive fixed points for a semipositone operator in ordered Banach space. Lastly, we apply the results to Hammerstein integral equations of polynomial type.

机译：半正整数积分方程和半正常微分方程的理论已成为近年来研究的重要领域，但对抽象空间中半正算算子的研究却很少。通过使用众所周知的不动点索引定理并将其与平移替换组合，我们研究了有序Banach空间中半正算子的正不动点的存在。最后，我们将结果应用于多项式类型的Hammerstein积分方程。

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《Abstract and applied analysis》 |2013年第14期|共5页
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ZengqinZhao; XinshengDu;
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Positive Fixed Points for Semipositone Operators in Ordered Banach Spaces and Applications

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