Opuscula Math. 25, no. 2 (2005), 195-225
Solving equations by topological methods
Abstract. In this paper we survey most important results from topological fixed point theory which can be directly applied to differential equations. Some new formulations are presented. We believe that our article will be useful for analysts applying topological fixed point theory in nonlinear analysis and in differential equations.
Keywords: Lefschetz number, fixed points, CAC-maps, condensing maps, ANR-spaces, fixed point index.
Mathematics Subject Classification: 55M20, 47H11, 47H10, 54H25.