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

Zengqin Zhao | Zendy; Xinsheng Du | Zendy

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

Author(s) -

Zengqin Zhao,

Xinsheng Du

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/406727

Subject(s) - mathematics , fixed point theorem , banach space , fixed point index , fixed point , polynomial , pure mathematics , mathematical analysis , operator (biology) , nonlinear system , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene , boundary value problem

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

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