We deal with the general initial-boundary value problem for a
second-order nonlinear nonstationary evolution equation. The
associated operator equation is studied by the Fredholm and
Nemitskii operator theory. Under local Hölder conditions for
the nonlinear member, we observe quantitative and qualitative
properties of the set of solutions of the given problem. These
results can be applied to different mechanical and natural
science models.
Publié le : 2004-05-13
Classification:
35K20,
35K60,
47F05,
47A53,
47H30
@article{1086103972,
author = {\v Durikovi\v c, Vladim\'\i r and \v Durikovi\v cov\'a, Monika},
title = {On the solutions of nonlinear initial-boundary value problems},
journal = {Abstr. Appl. Anal.},
volume = {2004},
number = {1},
year = {2004},
pages = { 407-424},
language = {en},
url = {http://dml.mathdoc.fr/item/1086103972}
}
Ďurikovič, Vladimír; Ďurikovičová, Monika. On the solutions of nonlinear initial-boundary value problems. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp. 407-424. http://gdmltest.u-ga.fr/item/1086103972/