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Infante, E. F.; Walker, J. A.

A Liapunov functional for a scalar differential difference equation. (English) Zbl 0417.34111

Proc. R. Soc. Edinb., Sect. A 79, 307-316 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0417.34111

Cited in 7 Documents

MSC:

34K20 Stability theory of functional-differential equations
34K05 General theory of functional-differential equations
34D20 Stability of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations

Keywords:

scalar, retarded differential difference equation; asymptotic stability; Liapunov functions
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References:

[1] Hale, Appl. Math. Sci. Ser. (1977)
[2] Hale, Appl. Math. Sci. Ser. (1971)
[3] Datko, Naval Res. Lab. Mat. Res. Cen. Conference pp 387– (1971)
[4] Banks, Proc. Internal. Conference Differential Equations pp 10– (1975) · doi:10.1016/B978-0-12-059650-8.50009-0
[5] LaSalle, Differential Equations and Dynamical Systems pp 277– (1967)
[6] DOI: 10.1016/0022-247X(76)90104-9 · Zbl 0338.34066 · doi:10.1016/0022-247X(76)90104-9
[7] Repin, Prikl. Mat. Meh. 29 pp 564– (1965)
[8] LaSalle, Appl. Math. Sci. Ser.
[9] Zivotovskii, Trudy Sent. Teor. Differencial Uravneniis Otklon. Argumentom Univ. Družby Narodov Patrisa Lumumby 7 pp 82– (1969)
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