Geodesic
On positive solutions of a class of second order nonlinear differential equations on the halfline
Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 123-142
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The differential equation of the form $(q(t)k(u)(u')^a)' = f(t)h(u)u'$, a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u'(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
DOI : 10.4064/ap-62-2-123-142
Keywords: nonlinear second order differential equation, nonnegative solution, existence and uniqueness of solutions, bounded solution, dependence of solutions on the parameter, boundary value problem on a noncompact interval, Tikhonov-Schauder fixed point theorem 
@article{10_4064_ap_62_2_123_142,
     author = {Svatoslav Stan\v{e}k},
     title = {On positive solutions of a class of second order nonlinear differential equations on the halfline},
     journal = {Annales Polonici Mathematici},
     pages = {123--142},
     year = {1995},
     volume = {62},
     number = {2},
     doi = {10.4064/ap-62-2-123-142},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-123-142/}
}
TY  - JOUR
AU  - Svatoslav Staněk
TI  - On positive solutions of a class of second order nonlinear differential equations on the halfline
JO  - Annales Polonici Mathematici
PY  - 1995
SP  - 123
EP  - 142
VL  - 62
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-123-142/
DO  - 10.4064/ap-62-2-123-142
LA  - en
ID  - 10_4064_ap_62_2_123_142
ER  - 
%0 Journal Article
%A Svatoslav Staněk
%T On positive solutions of a class of second order nonlinear differential equations on the halfline
%J Annales Polonici Mathematici
%D 1995
%P 123-142
%V 62
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-123-142/
%R 10.4064/ap-62-2-123-142
%G en
%F 10_4064_ap_62_2_123_142
Svatoslav Staněk. On positive solutions of a class of second order nonlinear differential equations on the halfline. Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 123-142. doi: 10.4064/ap-62-2-123-142

Cité par Sources :