Geodesic
Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space
Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 399-409.

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

In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower solution. The results can be applied to a wide variety of boundary value problems to obtain multiplicity results for sign-changing solutions.
DOI : 10.21136/MB.2009.140672
Classification : 47H07, 47H10
Keywords: sign-changing solution; operator equation in ordered Banach space; fixed point index 
@article{10_21136_MB_2009_140672,
     author = {Xu, Xian and Wang, Bingjin},
     title = {Multiplicity results for sign-changing solutions of an operator equation in ordered {Banach} space},
     journal = {Mathematica Bohemica},
     pages = {399--409},
     publisher = {mathdoc},
     volume = {134},
     number = {4},
     year = {2009},
     doi = {10.21136/MB.2009.140672},
     mrnumber = {2597235},
     zbl = {1212.47051},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140672/}
}
TY  - JOUR
AU  - Xu, Xian
AU  - Wang, Bingjin
TI  - Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space
JO  - Mathematica Bohemica
PY  - 2009
SP  - 399
EP  - 409
VL  - 134
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140672/
DO  - 10.21136/MB.2009.140672
LA  - en
ID  - 10_21136_MB_2009_140672
ER  - 
%0 Journal Article
%A Xu, Xian
%A Wang, Bingjin
%T Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space
%J Mathematica Bohemica
%D 2009
%P 399-409
%V 134
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140672/
%R 10.21136/MB.2009.140672
%G en
%F 10_21136_MB_2009_140672
Xu, Xian; Wang, Bingjin. Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space. Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 399-409. doi : 10.21136/MB.2009.140672. http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140672/

Cité par Sources :