Geodesic
Global existence and stability of some semilinear problems
Archivum mathematicum, Tome 36 (2000) no. 1, pp. 33-44

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 34D05, 34G20, 34K05, 34K20, 35B35, 35K55
Keywords: semilinear parabolic equation; functional differential equation; integrodifferential equation; integral equation fractional evolution equation; global existence; stability; variation of parameters 
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     author = {Kirane, M. and Tatar, N.-E.},
     title = {Global existence and stability of some semilinear problems},
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     pages = {33--44},
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     volume = {36},
     number = {1},
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     zbl = {1048.34102},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000__36_1_a4/}
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Kirane, M.; Tatar, N.-E. Global existence and stability of some semilinear problems. Archivum mathematicum, Tome 36 (2000) no. 1, pp. 33-44. http://geodesic.mathdoc.fr/item/ARM_2000__36_1_a4/