On a fourth order periodic boundary value problem
Archivum Mathematicum (1994)
- Volume: 030, Issue: 1, page 1-8
- ISSN: 0044-8753
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topPinda, Ľudovít. "On a fourth order periodic boundary value problem." Archivum Mathematicum 030.1 (1994): 1-8. <http://eudml.org/doc/247544>.
@article{Pinda1994,
abstract = {Existence and uniqueness of the solution to a fourth order nonlinear vector periodic boundary value problem is proved by using the estimates for derivatives of the Green function for the corresponding homogenous scalar problem},
author = {Pinda, Ľudovít},
journal = {Archivum Mathematicum},
keywords = {symmetric operator; Green function; generalized Banach space; Lipschitz condition; eigenvalue; fourth order periodic boundary value problem; existence; uniqueness; Green function; Banach contraction principle},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a fourth order periodic boundary value problem},
url = {http://eudml.org/doc/247544},
volume = {030},
year = {1994},
}
TY - JOUR
AU - Pinda, Ľudovít
TI - On a fourth order periodic boundary value problem
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 1
SP - 1
EP - 8
AB - Existence and uniqueness of the solution to a fourth order nonlinear vector periodic boundary value problem is proved by using the estimates for derivatives of the Green function for the corresponding homogenous scalar problem
LA - eng
KW - symmetric operator; Green function; generalized Banach space; Lipschitz condition; eigenvalue; fourth order periodic boundary value problem; existence; uniqueness; Green function; Banach contraction principle
UR - http://eudml.org/doc/247544
ER -
References
top- Obyčajné diferenciálne rovnice, Alfa, 1985. (1985)
- On a vector multipoint boundary value problem, Archivum Mathematicum Brno 22 (1986), no. 2, 75–92. (1986) MR0868122
- The solution of the two-point boundary value problem for a nonlinear differential equation of the third order, Math. Slovaca 36 (1986), no. 4, 345–357. (1986) MR0871775
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