Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity

Rostás, Kristína. "Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity." Archivum Mathematicum 047.1 (2011): 23-33. <http://eudml.org/doc/116531>.

@article{Rostás2011,
abstract = {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.},
author = {Rostás, Kristína},
journal = {Archivum Mathematicum},
keywords = {iterated differential equations; maximal and minimal solutions; iterated differential equation; maximal and minimal solutions},
language = {eng},
number = {1},
pages = {23-33},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity},
url = {http://eudml.org/doc/116531},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Rostás, Kristína
TI - Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 1
SP - 23
EP - 33
AB - 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.
LA - eng
KW - iterated differential equations; maximal and minimal solutions; iterated differential equation; maximal and minimal solutions
UR - http://eudml.org/doc/116531
ER -