Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity
Archivum mathematicum, Tome 47 (2011) no. 1, pp. 23-33
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper we are concerned with sufficient conditions for the existence of minimal and maximal solutions of differential equations of the form
\[ L_{4}y+f(t,y)=0\,, \]
where $L_{4}y$ is the iterated linear differential operator of order $4$ and $f\colon [a,\infty )\times (0,\infty )\rightarrow (0,\infty )$ is a continuous function.
Classification :
34C10
Keywords: iterated differential equations; maximal and minimal solutions
Keywords: iterated differential equations; maximal and minimal solutions
@article{ARM_2011__47_1_a2,
author = {Rost\'as, Krist{\'\i}na},
title = {Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity},
journal = {Archivum mathematicum},
pages = {23--33},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {2011},
mrnumber = {2813544},
zbl = {1240.34181},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2011__47_1_a2/}
}
TY - JOUR AU - Rostás, Kristína TI - Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity JO - Archivum mathematicum PY - 2011 SP - 23 EP - 33 VL - 47 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ARM_2011__47_1_a2/ LA - en ID - ARM_2011__47_1_a2 ER -
Rostás, Kristína. Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity. Archivum mathematicum, Tome 47 (2011) no. 1, pp. 23-33. http://geodesic.mathdoc.fr/item/ARM_2011__47_1_a2/