TY - JOUR ID - Górniewicz2005 LB - Górniewicz2005 AU - Górniewicz, Lech TI - Solving equations by topological methods ST - Solving equations by topological methods JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2005 VL - 25 IS - 2 SP - 195 EP - 225 DO - http://dx.doi.org/10.7494/OpMath.2005.25.2.195 UR - http://dx.doi.org/10.7494/OpMath.2005.25.2.195 AB - 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. KW - Lefschetz number KW - fixed points KW - CAC-maps KW - condensing maps KW - ANR-spaces KW - fixed point index SN - 1232-9274 ER -