Singular problems on the half-line
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2009)
- Volume: 48, Issue: 1, page 109-128
- ISSN: 0231-9721
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topRachůnková, Irena, and Tomeček, Jan. "Singular problems on the half-line." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 48.1 (2009): 109-128. <http://eudml.org/doc/35191>.
@article{Rachůnková2009,
abstract = {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.},
author = {Rachůnková, Irena, Tomeček, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Singular ordinary differential equation of the second order; lower and upper functions; time singularities; unbounded domain; homoclinic solution; singular ordinary differential equation of the second order; lower and upper functions; time singularities; unbounded domain; homoclinic solutions},
language = {eng},
number = {1},
pages = {109-128},
publisher = {Palacký University Olomouc},
title = {Singular problems on the half-line},
url = {http://eudml.org/doc/35191},
volume = {48},
year = {2009},
}
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
PB - Palacký University Olomouc
VL - 48
IS - 1
SP - 109
EP - 128
AB - 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.
LA - eng
KW - Singular ordinary differential equation of the second order; lower and upper functions; time singularities; unbounded domain; homoclinic solution; singular ordinary differential equation of the second order; lower and upper functions; time singularities; unbounded domain; homoclinic solutions
UR - http://eudml.org/doc/35191
ER -
References
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