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Stability and growth estimates for Volterra integrodifferential equations in Hilbert space. (English) Zbl 0329.45016

45K05 Integro-partial differential equations
45N05 Abstract integral equations, integral equations in abstract spaces
47Gxx Integral, integro-differential, and pseudodifferential operators
Full Text: DOI
[1] Constantine M. Dafermos, An abstract Volterra equation with applications to linear viscoelasticity, J. Differential Equations 7 (1970), 554 – 569. · Zbl 0212.45302 · doi:10.1016/0022-0396(70)90101-4 · doi.org
[2] Frederick Bloom, Growth estimates for solutions to initial-boundary value problems in viscoelasticity, J. Math. Anal. Appl. 59 (1977), no. 3, 469 – 487. · Zbl 0361.45010 · doi:10.1016/0022-247X(77)90074-9 · doi.org
[3] R. J. Knops and L. E. Payne, Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics, Arch. Rational Mech. Anal. 41 (1971), 363 – 398. · Zbl 0227.35017 · doi:10.1007/BF00281873 · doi.org
[4] F. Bloom, On stability in linear viscoelasticity, Mechanics Research Communications 3 (1976), 143-150. · Zbl 0367.73051
[5] F. Bloom, Stability of electric displacement fields in non-conducting material dieelectrics, (in preparation).
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