| Center |
| Faculty of Mathematics |
| Departament |
| Mathematical Analysis |
| Lecturers in charge |
| G6096 - JESUS GARCIA FALSET |
| Met. Docent |
| We will propose questions and problems which will have to be solved by the students. These questions and problem will be correct. |
| Met. Avaluació |
| Final examination |
| Bibliografia |
| Akerkar, R. Nonlinear Functional Analysis, Narosa Publ. H., 1999 Brown, R. F. A topological introduction to NOnlinear Analysis, Birkhäuser, 1993 Deimling, K. Nonlinear Functional Analysis, Springer, 1985 LLorens, E. Análisis Funcional no lineal: una introducción, Valencia 1999. Takahashi, W. Nonlinear Functional Analysis, Yokohama Publ., 2002. |
| Continguts |
| Banach`s principle. Iterative Methods. Applications. Differential calculus in Banach spaces. Gâteaux and Fréchet differential. Variational methods in optimization. Schauder's fixed point theorem. Applications. Kakutani's fixed point theorem. Applications. Newton-Kantorovich's method. Applications. |
| Objetius |
| The main objective of this course will be to learn the most important results and to apply the main tecniques and methods to study the existence of solutions of several types of both differential and integral(nonlinear) equations. |
| URL de Fitxa |