Geodesic
Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 15-24
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
DOI : 10.4064/ap-72-1-15-24
Keywords: method of lower and upper functions, infinite systems of parabolic differential-functional equations, monotone iterative method 
@article{10_4064_ap_72_1_15_24,
     author = {Stanis{\l}aw Brzychczy},
     title = {Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations},
     journal = {Annales Polonici Mathematici},
     pages = {15--24},
     year = {1999},
     volume = {72},
     number = {1},
     doi = {10.4064/ap-72-1-15-24},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-15-24/}
}
TY  - JOUR
AU  - Stanisław Brzychczy
TI  - Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 15
EP  - 24
VL  - 72
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-15-24/
DO  - 10.4064/ap-72-1-15-24
LA  - en
ID  - 10_4064_ap_72_1_15_24
ER  - 
%0 Journal Article
%A Stanisław Brzychczy
%T Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
%J Annales Polonici Mathematici
%D 1999
%P 15-24
%V 72
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-15-24/
%R 10.4064/ap-72-1-15-24
%G en
%F 10_4064_ap_72_1_15_24
Stanisław Brzychczy. Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations. Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 15-24. doi: 10.4064/ap-72-1-15-24

Cité par Sources :