On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions

Bouziani, Abdelfatah

Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 793-813 / Harvested from Project Euclid

Résumé

We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonlinear reaction-diffusion system with only integral terms in the boundaries. We first solve a particular case of the problem by using the energy-integral method. Next, via an iteration procedure, we derive the obtained results to study the solvability of the stated problem.

Publié le : 2004-09-30
Classification: 35K50, 35K55, 35K57, 35D05, 35B45

@article{1097458588,
     author = {Bouziani, Abdelfatah},
     title = {On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 793-813},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1097458588}
}

Bouziani, Abdelfatah. On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  793-813. http://gdmltest.u-ga.fr/item/1097458588/