Computation of fixed point index and applications to superlinear periodic problem
نویسندگان
چکیده
*Correspondence: [email protected] 1School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China 2College of Science, Hohai University, Nanjing, 210098, China Full list of author information is available at the end of the article Abstract In this paper we compute the fixed point index for A-proper semilinear operators under certain boundary conditions. The proof is based on the partial order method combined with the properties of the fixed point index. As an application, we use the abstract results presented above to study the existence conditions of positive solutions for superlinear first-order and second-order periodic problems.
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تاریخ انتشار 2015