Stability and growth estimates for Volterra integrodifferential equations in Hilbert space
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- by Frederick Bloom PDF
- Bull. Amer. Math. Soc. 82 (1976), 603-606
References
- Constantine M. Dafermos, An abstract Volterra equation with applications to linear viscoelasticity, J. Differential Equations 7 (1970), 554–569. MR 259670, DOI 10.1016/0022-0396(70)90101-4
- Frederick Bloom, Growth estimates for solutions to initial-boundary value problems in viscoelasticity, J. Math. Anal. Appl. 59 (1977), no. 3, 469–487. MR 445257, DOI 10.1016/0022-247X(77)90074-9
- 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. MR 330731, DOI 10.1007/BF00281873 4. F. Bloom, On stability in linear viscoelasticity, Mechanics Research Communications 3 (1976), 143-150. 5. F. Bloom, Stability of electric displacement fields in non-conducting material dieelectrics, (in preparation).
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 603-606
- MSC (1970): Primary 47G05; Secondary 45K05, 45N05
- DOI: https://doi.org/10.1090/S0002-9904-1976-14127-4
- MathSciNet review: 0417860