A VERSION OF KRASNOSEL'SKII'S COMPRESSION N-EXPANSION FIXED POINT THEOREM IN CONES FOR DISCONTINUOUS OPERATORS WITH APPLICATIONS

作者：Figueroa Ruben^*; Lopez Pouso Rodrigo; Rodriguez Lopez Jorge

来源：Topological Methods in Nonlinear Analysis, 2018, 51(2): 493-510.

DOI：10.12775/TMNA.2018.003

• Krasnosel'skii fixed point theorem
• positive solutions
• discontinuous differential equations

We introduce a new fixed point theorem of Krasnosel'skii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order differential problem with separated boundary conditions and discontinuous nonlinearities.

• 出版日期2018-6