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Exponential stability for a class of functional differential equations. (English) Zbl 0215.15601

MSC:
34K20 Stability theory of functional-differential equations
34K30 Functional-differential equations in abstract spaces
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[1] Coleman, B. D., & V. J. Mizel, Norms and semi-groups in the theory of fading memory. Arch. Rational Mech. Anal. 3, 87–123 (1966). · Zbl 0146.46104
[2] Coleman, B. D., & V. J. Mizel, A general theory of dissipation in materials with memory. Arch. Rational Mech. Anal. 27, 255–274 (1968).
[3] Coleman, B. D., & V. J. Mizel, On the stability of solutions of functional-differential equations. Arch. Rational Mech. Anal. 30, 173–196 (1968). · Zbl 0184.36801
[4] Coleman, B. D., & V. J. Mizel, On thermodynamic conditions for the stability of evolving systems. Arch. Rational Mech. Anal. 29, 105–113 (1968). · Zbl 0159.56106
[5] Coleman, B. D., Thermodynamics of materials with memory. Arch. Rational Mech. Anal. 17, 1–46 (1964).
[6] Coleman, B. D., & W. Noll, An approximation theorem for functionals with applications in continuum mechanics. Arch. Rational Mech. Anal. 6, 355–370 (1960). · Zbl 0097.16403
[7] Doetsch, G., Theorie und Anwendung der Laplace-Transformation. New York: Dover Publications 1943. · Zbl 0060.24709
[8] König, H., & J. Meixner, Lineare Systeme und Lineare Transformationen. Math. Nach. 19, 265–322 (1958). · Zbl 0089.09303
[9] MacCamy, R. C., The Laplace transform and initial-boundary value problems. J. Math. Anal. and Appl. 16, 1–14 (1966). · Zbl 0158.12404
[10] Coleman, B. D., & E. H. Dill, On the stability of certain motions of incompressible materials with memory. Arch. Rational Mech. Anal. 30, 197–224 (1968). · Zbl 0167.54203
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