Estimate of solutions for some Volterra difference equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 40, Issue 1, 2000, Pages 345-363

  Kolmanovskii, V B ^a   Myshkis, A D ^b   Richard, J P ^c  

^a Russian Academy of Sciences   (Russian Federation)

^b RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

^c ECOLE CENTRALE DE LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; DIFFERENCE EQUATIONS; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; LYAPUNOV METHODS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; THEOREM PROVING;

HILBERT SPACES; VOLTERRA DIFFERENCE EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0034172715     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85021-X     Document Type: Article

References (13)

1. C.T.H. Baker, A. Tang, Stability of grazing systems with infinite delays, Math, and Computers in Simulation, Vol. 45, pp. 309-317, Special Issue "Delays systems", J.-P. Richard, V. Kolmanovskii (Eds.), 1998.
2. C. Corduneanu, Integral Equations and Stability of Feedback Systems, Academic Press, New York, 1973.
3. M.R. Crsci, V.B. Kolmanovskii, E. Russo, A. Vecchio, Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach, J. Integral Equations Appl. 7 (4) (1995) 393-411.
4. S. Elaydi, An Introduction to Difference Equations, Springer, New York, 1996.
5. S. Elaydi, S. Murakami, Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type, J. Difference Equations Appl. 2 (1996) 401-410.
6. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer, Dordrecht, 1992.
7. V.B. Kolmanovskii, A.D. Myshkis, Stability in the first approximation of some Volterra difference equations, J. Difference Equations Appl. 3 (1998) 563-569.
8. V.B. Kolmanovskii, A.D. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 1999.
9. M.A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon Press, New York, 1964.
10. V. Lakshmikantham, D. Trigiante, Difference Equations, Academic Press, New York, 1986.
11. S. Lamiri, B. Bouamama, J.-P. Richard, Modelling of a steam generator using distributed parameter equations, in Conference on Systems, Computers and Circuits, CSCC'99, Athena, Greece, July 1999, to appear.
12. R.K. Miller, Nonlinear Volterra Integral Equations, Benjamin Inc., California, 1972.
13. W. Pogorzelski, Integral Equations and their Applications, Vol. I. Pergamon Press, Oxford, 1966.