Sturmian Theory for Ordinary Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1980
|
| Series: | Applied Mathematical Sciences
31 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | A major portion of the study of the qualitative nature of solutions of differential equations may be traced to the famous 1836 paper of Sturm [1], (here, as elsewhere throughout this manuscript, numbers in square brackets refer to the bibliography at the end of this volume), dealing with oscillation and comparison theorems for linear homogeneous second order ordinary differential equations. The associated work of Liouville introduced a type of boundary problem known as a "Sturm-Liouville problem", involving, in particular, an introduction to the study of the asymptotic behavior of solutions of linear second order differential equations by the use of integral equations. In the quarter century following the 1891 Göttingen dissertation [1] of Maxime Bacher (1867-1918), he was instrumental in the elaboration and extension of the oscillation, separation, and comparison theorems of Sturm, both in his many papers on the subject and his lectures at the Sorbonne in 1913-1914, which were subsequently published as his famous Leaons sur Zes methodes de Sturm [7] |
| Physical Description: | 1 Online-Ressource (584p) |
| ISBN: | 9781461261100 9780387905426 |
| DOI: | 10.1007/978-1-4612-6110-0 |
Staff View
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| isbn | 9781461261100 9780387905426 |
| language | English |
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| spelling | Reid, William T. 1907-1977 Verfasser (DE-588)172328209 aut Sturmian Theory for Ordinary Differential Equations by William T. Reid New York, NY Springer New York 1980 1 Online-Ressource (584p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 31 A major portion of the study of the qualitative nature of solutions of differential equations may be traced to the famous 1836 paper of Sturm [1], (here, as elsewhere throughout this manuscript, numbers in square brackets refer to the bibliography at the end of this volume), dealing with oscillation and comparison theorems for linear homogeneous second order ordinary differential equations. The associated work of Liouville introduced a type of boundary problem known as a "Sturm-Liouville problem", involving, in particular, an introduction to the study of the asymptotic behavior of solutions of linear second order differential equations by the use of integral equations. In the quarter century following the 1891 Göttingen dissertation [1] of Maxime Bacher (1867-1918), he was instrumental in the elaboration and extension of the oscillation, separation, and comparison theorems of Sturm, both in his many papers on the subject and his lectures at the Sorbonne in 1913-1914, which were subsequently published as his famous Leaons sur Zes methodes de Sturm [7] Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Lineare gewöhnliche Differentialgleichung (DE-588)4353441-7 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Sturm-Liouville-Differenzengleichung (DE-588)4202274-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Sturm-Liouville-Differenzengleichung (DE-588)4202274-5 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Lineare gewöhnliche Differentialgleichung (DE-588)4353441-7 s 2\p DE-604 Applied Mathematical Sciences 31 (DE-604)BV040244599 31 https://doi.org/10.1007/978-1-4612-6110-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Reid, William T. 1907-1977 Sturmian Theory for Ordinary Differential Equations Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Lineare gewöhnliche Differentialgleichung (DE-588)4353441-7 gnd Randwertproblem (DE-588)4048395-2 gnd Sturm-Liouville-Differenzengleichung (DE-588)4202274-5 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4353441-7 (DE-588)4048395-2 (DE-588)4202274-5 |
| title | Sturmian Theory for Ordinary Differential Equations |
| title_auth | Sturmian Theory for Ordinary Differential Equations |
| title_exact_search | Sturmian Theory for Ordinary Differential Equations |
| title_full | Sturmian Theory for Ordinary Differential Equations by William T. Reid |
| title_fullStr | Sturmian Theory for Ordinary Differential Equations by William T. Reid |
| title_full_unstemmed | Sturmian Theory for Ordinary Differential Equations by William T. Reid |
| title_short | Sturmian Theory for Ordinary Differential Equations |
| title_sort | sturmian theory for ordinary differential equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Lineare gewöhnliche Differentialgleichung (DE-588)4353441-7 gnd Randwertproblem (DE-588)4048395-2 gnd Sturm-Liouville-Differenzengleichung (DE-588)4202274-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung Lineare gewöhnliche Differentialgleichung Randwertproblem Sturm-Liouville-Differenzengleichung |
| url | https://doi.org/10.1007/978-1-4612-6110-0 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT reidwilliamt sturmiantheoryforordinarydifferentialequations |