Geodesic
EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS
Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 515-523

Voir la notice de l'article provenant de la source Cambridge

DOI

Starting from results of Dubé and Mingarelli, Wahlén, and Ehrström, who give conditions that ensure the existence and uniqueness of nonnegative nondecreasing solutions asymptotically constant of the equationwe have been able to reduce their hypotheses in order to obtain the same existence results, at the expense of losing the uniqueness part. The main tool they used is the Banach Fixed Point Theorem, while ours has been the Schauder Fixed Point Theorem together with one version of the Arzelà-Ascoli Theorem.
DOI : 10.1017/S0017089507003874
Mots-clés : 34A12, 34A34, 34C10 
GONZÁLEZ, CRISTÓBAL; JIMÉNEZ-MELADO, ANTONIO. EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS. Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 515-523. doi: 10.1017/S0017089507003874
@article{10_1017_S0017089507003874,
     author = {GONZ\'ALEZ, CRIST\'OBAL and JIM\'ENEZ-MELADO, ANTONIO},
     title = {EXISTENCE {OF} {MONOTONIC} {ASYMPTOTICALLY} {CONSTANT} {SOLUTIONS} {FOR} {SECOND} {ORDER} {DIFFERENTIAL} {EQUATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {515--523},
     year = {2007},
     volume = {49},
     number = {3},
     doi = {10.1017/S0017089507003874},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003874/}
}
TY  - JOUR
AU  - GONZÁLEZ, CRISTÓBAL
AU  - JIMÉNEZ-MELADO, ANTONIO
TI  - EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS
JO  - Glasgow mathematical journal
PY  - 2007
SP  - 515
EP  - 523
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003874/
DO  - 10.1017/S0017089507003874
ID  - 10_1017_S0017089507003874
ER  - 
%0 Journal Article
%A GONZÁLEZ, CRISTÓBAL
%A JIMÉNEZ-MELADO, ANTONIO
%T EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS
%J Glasgow mathematical journal
%D 2007
%P 515-523
%V 49
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003874/
%R 10.1017/S0017089507003874
%F 10_1017_S0017089507003874

Cité par Sources :