A monotone method for constructing extremal solutions to second order periodic boundary value problems

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 -