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

Annales Polonici Mathematici (1991)

- Volume: 53, Issue: 1, page 29-34
- ISSN: 0066-2216

## Access Full Article

top## How to cite

topPiotr 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 -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.