Keywords
- Functional Differential Equation
- Scalar Case
- Asymptotic Integration
- Linear Differential System
- Balance Term
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.
Reference List
O. ARINO: Contribution à l'étude des comportements des solutions d'équations différentielles à retard par des méthodes de monotonie et de bifurcation. Thèse d'Etat; Bordeaux I, Octobre 1980.
ATKINSON-HADDOCK: Conditions for asymptotic convergence of solutions of functional differential equations (preprint 1981).
K.L. COOKE: Functional differential equations close to differential equations. Bull. Amer. Math. Soc. 72 (1966). 285.
K.L. COOKE: Asymptotic theory for the delay differential equation: du/dt=−au(t−r(t)). Journ. of Math. Anal. and Appl. 19 (1967). 160–175.
K.L. COOKE and J.A. YORKE: Some equations modelling growth processes and gonorrhea epidemics. Math. Biosci (1973).
D.R. DRIVER: Linear differential systems with small delays. J.D.E. 21 (1976) 149–167.
R.B. EVANS: Asymptotic equivalence of linear functional differential equations. Journ. of M. An. Appl. 51 (1975) 223–228.
I. GYÖRI: Asymptotic behaviour of solutions of unstable-type first order differential equations with delay. Stud. Sci. Math. Hungarica. 8 (1973) 125–132.
I. GYÖRI: Asymptotic behaviour of solutions of functional differential equations Candidate thesis (in Hugarian) Szeged (1974).
I. GYÖRI: On existence of the limits of solutions of functional differential equations. Coll. Mat. Soc. J. Bolyai 30. Qual. Theory of Diff. Equat. (1979).
J.R. HADDOCK and R. SACKER: Stability and asymptotic integration for certain linear systems of functional differential equations. Journ. of Math. An. and Appl. 76. 328–338 (1976).
J.K. HALE: Theory of functional differential equations. Applied Mathematical Sciences 3. Springer-Verlag (1977).
W.A. HARRIS and D.A. LUTZ: A unified theory of asymptotic integration. J.M. A.A. 57 (1977) 571–586.
P. HARTMAN and A. WINTNER: Asymptotic integration of linear differential equations. Amer. J. Math. 77 (1955). 45–86.
J. KATO: On the existence of 0-curves II. Tohoku Math. J. 19 (1967).126–140.
G.S. LADDE: Class of functional equations with applications. Non lin. Anal. Theor. Meth. and Appli. vol.2. No2 (1978). 259–261.
P.S. PANKOV: Diff. Uravnenia. XIII, 8 (1977). 455–462.
V.M. POPOV: Pointwise degeneracy of linear time-invariant delay differential equations. J.D.E. 11 (1972). 541–561.
RYABOV: Certain asymptotic properties of linear systems with small time lag (in Russian). Trudy Sem. Teor. Diff. Urav.s Otklon. Argumentom. Univ. Druzby Norodov Patrisa Lumumby. 3. (1965).153–165.
G.L. SLATER: The differential-difference equation: dw/ds=g(s)[w(s−1)−w(s)]. Proc. of Royal Soc. of Edinburgh. 78A. (1977). 41–55.
M. ŠVEC: Some properties of functional differential equations. Boll. U.M.I. (4). 11. Suppl. Fasc. 3. (1975).467–477.
V.B. UVAROV: Asymptotic properties of the solutions of linear differential equations with retarded arguments (in Russian). Diff. Uravn. 4 (1968). 659–663.
A.M. ZVERKIN: Pointwise completeness of systems with delay (in Russian) Diff. Uravn. 9 (1973). 430–436.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Arino, O., Györi, I. (1983). Asymptotic integration of functional differential systems which are asymptotically autonomous. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103234
Download citation
DOI: https://doi.org/10.1007/BFb0103234
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12686-7
Online ISBN: 978-3-540-38678-0
eBook Packages: Springer Book Archive
