Daqing Jiang, and Lingbin Kong. "A monotone method for constructing extremal solutions to second order periodic boundary value problems." Annales Polonici Mathematici 76.3 (2001): 279-286. <http://eudml.org/doc/280753>.
@article{DaqingJiang2001,
abstract = {We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).},
author = {Daqing Jiang, Lingbin Kong},
journal = {Annales Polonici Mathematici},
keywords = {nonlinear boundary value problems; periodic solutions; comparison results; lower and upper solutions},
language = {eng},
number = {3},
pages = {279-286},
title = {A monotone method for constructing extremal solutions to second order periodic boundary value problems},
url = {http://eudml.org/doc/280753},
volume = {76},
year = {2001},
}
TY - JOUR
AU - Daqing Jiang
AU - Lingbin Kong
TI - A monotone method for constructing extremal solutions to second order periodic boundary value problems
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 3
SP - 279
EP - 286
AB - We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).
LA - eng
KW - nonlinear boundary value problems; periodic solutions; comparison results; lower and upper solutions
UR - http://eudml.org/doc/280753
ER -
