Zeros of derivatives of solutions to singular conjugate BVPs
Irena Rachůnková; Staněk, Svatoslav
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2004)
- Volume: 43, Issue: 1, page 137-141
- ISSN: 0231-9721
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topRachůnková, Irena, and Staněk, Svatoslav. "Zeros of derivatives of solutions to singular $(p,n-p)$ conjugate BVPs." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 43.1 (2004): 137-141. <http://eudml.org/doc/32348>.
@article{Rachůnková2004,
abstract = {Positive solutions of the singular $(p,n-p)$ conjugate BVP are studied. The set of all zeros of their derivatives up to order $n-1$ is described. By means of this, estimates from below of the solutions and the absolute values of their derivatives up to order $n-1$ on the considered interval are reached. Such estimates are necessary for the application of the general existence principle to the BVP under consideration.},
author = {Rachůnková, Irena, Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {singular conjugate BVP; positive solutions; zeros of derivatives; estimates from below; singular conjugate boundary value problem; positive solutions; zeros of derivatives; estimates from below},
language = {eng},
number = {1},
pages = {137-141},
publisher = {Palacký University Olomouc},
title = {Zeros of derivatives of solutions to singular $(p,n-p)$ conjugate BVPs},
url = {http://eudml.org/doc/32348},
volume = {43},
year = {2004},
}
TY - JOUR
AU - Rachůnková, Irena
AU - Staněk, Svatoslav
TI - Zeros of derivatives of solutions to singular $(p,n-p)$ conjugate BVPs
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2004
PB - Palacký University Olomouc
VL - 43
IS - 1
SP - 137
EP - 141
AB - Positive solutions of the singular $(p,n-p)$ conjugate BVP are studied. The set of all zeros of their derivatives up to order $n-1$ is described. By means of this, estimates from below of the solutions and the absolute values of their derivatives up to order $n-1$ on the considered interval are reached. Such estimates are necessary for the application of the general existence principle to the BVP under consideration.
LA - eng
KW - singular conjugate BVP; positive solutions; zeros of derivatives; estimates from below; singular conjugate boundary value problem; positive solutions; zeros of derivatives; estimates from below
UR - http://eudml.org/doc/32348
ER -
References
top- Agarwal R. P., O’Regan D., Positive solutions for (p,n-p) conjugate boundary value problems, J. Differential Equations 150 (1998), 462–473. (1998) Zbl0920.34027MR1658664
- Agarwal R. P., O’Regan D., Multiplicity results for singular conjugate, focal, and problems, J. Differential Equations 170 (2001), 142–156. Zbl0978.34018MR1813103
- Agarwal R. P., O’Regan D., Rachůnková I., Staněk S., Two-point higher order BVPs with singularities in phase variables, Computers & Mathematics with Applications 46 (2003), 1799–1826. Zbl1057.34005MR2018767
- Eloe P. W., Henderson J., Singular nonlinear conjugate boundary value problems, Georgian Math. J. 4 (1997), 401–412. (1997) Zbl0882.34029MR1469324
- Eloe P. W., Henderson J., Singular nonlinear conjugate boundary value problems, J. Differential Equations 133 (1997), 136–151. (1997) Zbl0870.34031MR1426760
- Rachůnková I., Staněk S., General existence principle for singular BVPs and its applications, Georgian Math. J. 11 (2004), 549–565. MR2081745
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