On the equation x”(t) = F(t, x(t)) in the Sobolev space $H^1\left(R\right)$

Piotr Fijałkowski. "On the equation x”(t) = F(t, x(t)) in the Sobolev space $H^1(R)$." Annales Polonici Mathematici 53.1 (1991): 29-34. <http://eudml.org/doc/267158>.

@article{PiotrFijałkowski1991,
author = {Piotr Fijałkowski},
journal = {Annales Polonici Mathematici},
keywords = {second order nonlinear differential equation; Sobolev space; existence; Leray-Schauder degree theory; compactness; a-priori bound},
language = {eng},
number = {1},
pages = {29-34},
title = {On the equation x”(t) = F(t, x(t)) in the Sobolev space $H^1(R)$},
url = {http://eudml.org/doc/267158},
volume = {53},
year = {1991},
}

TY - JOUR
AU - Piotr Fijałkowski
TI - On the equation x”(t) = F(t, x(t)) in the Sobolev space $H^1(R)$
JO - Annales Polonici Mathematici
PY - 1991
VL - 53
IS - 1
SP - 29
EP - 34
LA - eng
KW - second order nonlinear differential equation; Sobolev space; existence; Leray-Schauder degree theory; compactness; a-priori bound
UR - http://eudml.org/doc/267158
ER -