positive fixed points for semipositone operators in ordered banach spaces and applications
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ID: 206967
2013
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Abstract
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.
| Reference Key |
zhao2013abstractpositive
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|---|---|
| Authors | ;Zengqin Zhao;Xinsheng Du |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/406727
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