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Ordinary Differential Equations.
Abstract
First--Order of Differential Equations. Second--Order Linear Equations. Linear Equations with Constant Coefficients. Power Series Solutions. Plane Autonomous Systems. Existence and Uniqueness Theorems. Approximate Solutions. Efficient Numerical Integration. Regular Singular Points. Sturm--Liouville Systems. Expansions in Eigenfunctions. Appendices. Bibliography. Index.
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Cited by
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Bobrow, J. E., Dubowsky, S., & Gibson, J. S. (1985) · The International Journal of Robotics Research · doi:10.1177/027836498500400301 · Cited by 1,315
Stock Market Overreactions to Bad News in Good Times: A Rational Expectations Equilibrium Model
Veronesi, P. (1999) · Review of Financial Studies · doi:10.1093/rfs/12.5.975 · Cited by 998
The discrete fractional Fourier transform
Candan, C., Kutay, M. A., & Ozaktas, H. M. (2000) · IEEE Transactions on Signal Processing · doi:10.1109/78.839980 · Cited by 683
System identifiability based on the power series expansion of the solution
Pohjanpalo, H. (1978) · Mathematical Biosciences · doi:10.1016/0025-5564(78)90063-9 · Cited by 440
Random environments and stochastic calculus
Turelli, M. (1977) · Theoretical Population Biology · doi:10.1016/0040-5809(77)90040-5 · Cited by 329
Metadata
- Authors
- Langenhop, C. E., Birkhoff, G., & Rota, G.-C.
- Venue
- The American Mathematical Monthly
- Publisher
- JSTOR
- Published
- 1963-08
- Volume
- 70
- Issue
- 7
- Pages
- 777
- ISSN
- 0002-9890 (ISSN-L)
- OpenAlex
- W3115050390
- Cited by
- 1,317
- References
- 0
- FWCI
- 15.03
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Ordinary Differential Equations. https://app.cochat.ai/papers/10.2307/2312290
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- Langenhop, C. E., Birkhoff, G., & Rota, G.-C. (1963). Ordinary Differential Equations. The American Mathematical Monthly. https://doi.org/10.2307/2312290
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
