Periodic solutions of nonlinear second-order differential equations with parameter
Mathematica Bohemica (1992)
- Volume: 117, Issue: 4, page 337-348
- ISSN: 0862-7959
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topStaněk, Svatoslav. "Periodic solutions of nonlinear second-order differential equations with parameter." Mathematica Bohemica 117.4 (1992): 337-348. <http://eudml.org/doc/29214>.
@article{Staněk1992,
abstract = {This paper establishes effective sufficient conditions for existence and uniqueness of periodic solutions of a one-parameter differential equation $u^\{\prime \prime \}-q(t)y=f(t,y,y^\{\prime \},\mu )$ vanishing at an arbitrary but fixed point.},
author = {Staněk, Svatoslav},
journal = {Mathematica Bohemica},
keywords = {periodic solution; nonlinear second-order differential equation with a parameter; Schauder fixed point theorem; periodic solution},
language = {eng},
number = {4},
pages = {337-348},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solutions of nonlinear second-order differential equations with parameter},
url = {http://eudml.org/doc/29214},
volume = {117},
year = {1992},
}
TY - JOUR
AU - Staněk, Svatoslav
TI - Periodic solutions of nonlinear second-order differential equations with parameter
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 4
SP - 337
EP - 348
AB - This paper establishes effective sufficient conditions for existence and uniqueness of periodic solutions of a one-parameter differential equation $u^{\prime \prime }-q(t)y=f(t,y,y^{\prime },\mu )$ vanishing at an arbitrary but fixed point.
LA - eng
KW - periodic solution; nonlinear second-order differential equation with a parameter; Schauder fixed point theorem; periodic solution
UR - http://eudml.org/doc/29214
ER -
References
top- E. F. Beckenbach, R. Bellman, Inequalities, Moscow, 1965. (In Russian.) (1965) Zbl0186.09605MR0192009
- S. Staněk, Three-point boundary value problem of nonlinear second order differential equation with parameter, Czechoslovak Math. J. 42(117) (1992), 241-256. (1992) MR1179496
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