Global existence and stability of some semilinear problems
Mokhtar Kirane; Nasser-eddine Tatar
Archivum Mathematicum (2000)
- Volume: 036, Issue: 1, page 33-44
- ISSN: 0044-8753
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topKirane, Mokhtar, and Tatar, Nasser-eddine. "Global existence and stability of some semilinear problems." Archivum Mathematicum 036.1 (2000): 33-44. <http://eudml.org/doc/248556>.
@article{Kirane2000,
abstract = {We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.},
author = {Kirane, Mokhtar, Tatar, Nasser-eddine},
journal = {Archivum Mathematicum},
keywords = {semilinear parabolic equation; functional differential equation; integrodifferential equation; integral equation fractional evolution equation; global existence; stability; variation of parameters; semilinear parabolic equation; functional-differential equation; integrodifferential equation; integral equation; fractional evolution equation; global existence; stability; variation of parameters},
language = {eng},
number = {1},
pages = {33-44},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Global existence and stability of some semilinear problems},
url = {http://eudml.org/doc/248556},
volume = {036},
year = {2000},
}
TY - JOUR
AU - Kirane, Mokhtar
AU - Tatar, Nasser-eddine
TI - Global existence and stability of some semilinear problems
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 1
SP - 33
EP - 44
AB - We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
LA - eng
KW - semilinear parabolic equation; functional differential equation; integrodifferential equation; integral equation fractional evolution equation; global existence; stability; variation of parameters; semilinear parabolic equation; functional-differential equation; integrodifferential equation; integral equation; fractional evolution equation; global existence; stability; variation of parameters
UR - http://eudml.org/doc/248556
ER -
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