×

zbMATH — the first resource for mathematics

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

MSC:
45K05 Integro-partial differential equations
45N05 Abstract integral equations, integral equations in abstract spaces
47Gxx Integral, integro-differential, and pseudodifferential operators
PDF BibTeX XML Cite
Full Text: DOI
References:
[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).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.