Abstract
A simple differential equation and its solution. f(t) is a given function and x(t) is the unknown function. A separable differential equation. If g(a) = 0, x(t) ≡ a is a solution. A projective differential equation. The substitution z = x/t leads to a separable equation for z.
Keywords
- Equilibrium Point
- Negative Real Part
- Separable Equation
- Volterra Model
- Stability Concept
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Braun (1993) is a good reference for ordinary differential equations. For (11.10)–(11.18) see e.g. Sydsæter et al. (2005). For (11.35)–(11.38) see Gandolfo (1996) or Sydsæter et al. (2005). Beavis and Dobbs (1990) have most of the qualitative results and also economic applications. For (11.68) see Sneddon (1957) or Zachmanoglou and Thoe (1986). For (11.69) see Hartman (1982). For economic applications of (11.69) see Mas-Colell, Whinston, and Green (1995).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sydsæter, K., Strøm, A., Berck, P. (2010). Differential equations. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-28518-2_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
eBook Packages: Business and EconomicsEconomics and Finance (R0)