Existence of multiple solutions for a third-order three-point regular boundary value problem
Mathematica Bohemica (1994)
- Volume: 119, Issue: 2, page 113-121
- ISSN: 0862-7959
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topŠenkyřík, Martin. "Existence of multiple solutions for a third-order three-point regular boundary value problem." Mathematica Bohemica 119.2 (1994): 113-121. <http://eudml.org/doc/29234>.
@article{Šenkyřík1994,
abstract = {In the paper we prove an Ambrosetti-Prodi type result for solutions $u$ of the third-order nonlinear differential equation, satisfying $u^\{\prime \}(0)=u^\{\prime \}(1)=u(\eta )=0,\ 0\le \eta \le 1$.},
author = {Šenkyřík, Martin},
journal = {Mathematica Bohemica},
keywords = {boundary value problem; lower and upper solutions; degree theory; Ambrosetti-Prodi type theorem; coincidence degree; Nagumo functions; Ambrosetti-Prodi results; boundary value problem; lower and upper solutions; degree theory; Ambrosetti-Prodi type theorem},
language = {eng},
number = {2},
pages = {113-121},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of multiple solutions for a third-order three-point regular boundary value problem},
url = {http://eudml.org/doc/29234},
volume = {119},
year = {1994},
}
TY - JOUR
AU - Šenkyřík, Martin
TI - Existence of multiple solutions for a third-order three-point regular boundary value problem
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 2
SP - 113
EP - 121
AB - In the paper we prove an Ambrosetti-Prodi type result for solutions $u$ of the third-order nonlinear differential equation, satisfying $u^{\prime }(0)=u^{\prime }(1)=u(\eta )=0,\ 0\le \eta \le 1$.
LA - eng
KW - boundary value problem; lower and upper solutions; degree theory; Ambrosetti-Prodi type theorem; coincidence degree; Nagumo functions; Ambrosetti-Prodi results; boundary value problem; lower and upper solutions; degree theory; Ambrosetti-Prodi type theorem
UR - http://eudml.org/doc/29234
ER -
References
top- A. Ambrosetti, G. Prodi, 10.1007/BF02412022, Ann. Mat. Pura Appl. 93 (4) (1972), 231-247. (1972) MR0320844DOI10.1007/BF02412022
- S. H. Ding, J. Mawhin, A multiplicity result for periodic solutions of higher order ordinary differential equations, Differential and Integral Equations 1(1). Zbl0715.34086MR0920487
- C. Fabry J. Mawhin, M. Nkashama, 10.1112/blms/18.2.173, Bull. London Math. Soc. 18 (1986), 173-180. (1986) MR0818822DOI10.1112/blms/18.2.173
- J. Mawhin, 10.1090/cbms/040, CBMS Regional Confer. Ser. Math. No. 40. Amer. Math. Soc., Providence, 1979. (1979) Zbl0414.34025MR0525202DOI10.1090/cbms/040
- J. Mawhin, 10.1007/BF00945410, Z. Angew. Math. Phys. 38 (1987), 257-265. (1987) MR0885688DOI10.1007/BF00945410
- M. Šenkyřík, Method of lower and upper solutions for a third-order three-point regular boundary value problem, Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. XXXI (1992), 60-70. (1992) MR1212606
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