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Last update: doc. RNDr. Václav Kučera, Ph.D. (05.12.2018)
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Last update: doc. RNDr. Václav Kučera, Ph.D. (15.01.2019)
L. C. Evans: Partial Differential Equations, AMS, 2010.
E. Zeidler: Nonlinear Functional Analysis and its Applications II/A, Springer, 1990.
V. Dolejší, K. Najzar: Nelineární funkcionální analýza, 2011, skripta MFF UK, 202 s. ISBN 978-80-7378-137-8
S. Fučík, A. Kufner: Nelineární diferenciální rovnice, 1978, SNTL, 344 s. |
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Last update: doc. RNDr. Václav Kučera, Ph.D. (05.12.2018)
Basic theorems from the theory of monotone and potential operators. Nonlinear differential equations in divergent form. Carathéodory's growth conditions, Nemycky operators. Variational methods and aplication of theory of monotone and potential operator, proof of existence of solution. Numerical solution of nonlinear differential equations using the finite element method. |