Geodesic
Singular problems on the half-line
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 109-128.

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

The paper investigates singular nonlinear problems arising in hydrodynamics. In particular, it deals with the problem on the half-line of the form \[(p(t)u^{\prime }(t))^{\prime } = p(t)f(u(t)),\] \[u^{\prime }(0) = 0,\quad u(\infty ) = L.\] The existence of a strictly increasing solution (a homoclinic solution) of this problem is proved by the dynamical systems approach and the lower and upper functions method.
Classification : 34B16, 34B40
Keywords: Singular ordinary differential equation of the second order; lower and upper functions; time singularities; unbounded domain; homoclinic solution 
@article{AUPO_2009__48_1_a9,
     author = {Rach\r{u}nkov\'a, Irena and Tome\v{c}ek, Jan},
     title = {Singular problems on the half-line},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {109--128},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2009},
     mrnumber = {2641952},
     zbl = {1209.34037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2009__48_1_a9/}
}
TY  - JOUR
AU  - Rachůnková, Irena
AU  - Tomeček, Jan
TI  - Singular problems on the half-line
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 2009
SP  - 109
EP  - 128
VL  - 48
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUPO_2009__48_1_a9/
LA  - en
ID  - AUPO_2009__48_1_a9
ER  - 
%0 Journal Article
%A Rachůnková, Irena
%A Tomeček, Jan
%T Singular problems on the half-line
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2009
%P 109-128
%V 48
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUPO_2009__48_1_a9/
%G en
%F AUPO_2009__48_1_a9
Rachůnková, Irena; Tomeček, Jan. Singular problems on the half-line. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 109-128. http://geodesic.mathdoc.fr/item/AUPO_2009__48_1_a9/