Comparison theorems for Sturm-Liouville equations

Erich Müller-Pfeiffer

Archivum Mathematicum (1986)

  • Volume: 022, Issue: 2, page 65-73
  • ISSN: 0044-8753

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Müller-Pfeiffer, Erich. "Comparison theorems for Sturm-Liouville equations." Archivum Mathematicum 022.2 (1986): 65-73. <http://eudml.org/doc/18181>.

@article{Müller1986,
author = {Müller-Pfeiffer, Erich},
journal = {Archivum Mathematicum},
keywords = {second order differential equation; Sturm-type comparison theorems},
language = {eng},
number = {2},
pages = {65-73},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Comparison theorems for Sturm-Liouville equations},
url = {http://eudml.org/doc/18181},
volume = {022},
year = {1986},
}

TY - JOUR
AU - Müller-Pfeiffer, Erich
TI - Comparison theorems for Sturm-Liouville equations
JO - Archivum Mathematicum
PY - 1986
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 022
IS - 2
SP - 65
EP - 73
LA - eng
KW - second order differential equation; Sturm-type comparison theorems
UR - http://eudml.org/doc/18181
ER -

References

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  1. A. M Fink, Comparison Theorems for Eigenvalues, Quart. Appl. Math. 28 (1970), 289-292. (1970) Zbl0211.39902MR0264153
  2. A. Ju. Levin, A comparison principle for second-order differential equations, Soviet. Math. Dokl. 1 (1960), 1313-1316. (1960) Zbl0102.07801MR0124563
  3. E. Müller-Pfeiffer, On the existence of nodal domains for elliptic differential operators, Proc.Roy. Soc. Edinburgh 94A (1983), 287-299. (1983) MR0709722
  4. W. T. Reid, Sturmian Theory for Ordinary Differential Equations, Applied Mathematical Sciences 31 (1980), Springer-Verlag New York-Heidelberg-Berlin. (1980) Zbl0459.34001MR0606199
  5. C. A. Swanson, Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York and London, 1968. (1968) Zbl0191.09904MR0463570

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