Stability in a system of difference equations
Author:
Dean S. Clark
Journal:
Quart. Appl. Math. 45 (1987), 441-453
MSC:
Primary 39A11
DOI:
https://doi.org/10.1090/qam/910452
MathSciNet review:
910452
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Additional Information
- Louis Brand, Differential and difference equations, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0209533
- Leo Breiman, Probability, Addison-Wesley Publishing Company, Reading, Mass.-London-Don Mills, Ont., 1968. MR 0229267
- Wolfgang Hahn, Über die Anwendung der Methode von Ljapunov auf Differenzengleichungen, Math. Ann. 136 (1958), 430–441 (German). MR 99543, DOI https://doi.org/10.1007/BF01347793
J. M. Henderson and R. E. Quandt, Microeconomic Theory, McGraw-Hill, New York, 1971
- James Hurt, Some stability theorems for ordinary difference equations, SIAM J. Numer. Anal. 4 (1967), 582–596. MR 221787, DOI https://doi.org/10.1137/0704053
- J. P. LaSalle, Stability theory for difference equations, Studies in ordinary differential equations, Math. Assoc. of America, Washington, D.C., 1977, pp. 1–31. Stud. in Math., Vol. 14. MR 0481689
- J. P. LaSalle, The stability of dynamical systems, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1976. With an appendix: “Limiting equations and stability of nonautonomous ordinary differential equations” by Z. Artstein; Regional Conference Series in Applied Mathematics. MR 0481301
L. Brand, Differential and Difference Equations, Wiley, New York, 1966
L. Breiman, Probability, Addison-Wesley, Reading, Mass., 1968
W. Hahn, Über die Anwendung der Methode von Ljapunov auf Differenzengleichungen, Math. Ann. 136, 430–441 (1958)
J. M. Henderson and R. E. Quandt, Microeconomic Theory, McGraw-Hill, New York, 1971
J. Hurt, Some stability theorems for ordinary difference equations, SIAM J. Num. Anal. 4, 582–596 (1967)
J. P. LaSalle, Stability theory for difference equations, in Studies in Ordinary Differential Equations, J. K. Hale, ed. (MAA Studies in Mathematics, v. 14), 1–31 (1977)
J. P. LaSalle, The Stability of Dynamical Systems, SIAM Regional Conference Series in Applied Mathematics, 1976
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Article copyright:
© Copyright 1987
American Mathematical Society
