no. 1
Continuous data dependence for an abstract Volterra integro-differential equation in Hilbert space with applications to viscoelasticity
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 4 (1977) no. 1, pp. 179-207 
@article{ASNSP_1977_4_4_1_179_0,
     author = {Bloom, Frederick},
     title = {Continuous data dependence for an abstract {Volterra} integro-differential equation in {Hilbert} space with applications to viscoelasticity},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {179--207},
     year = {1977},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 4},
     number = {1},
     mrnumber = {430711},
     zbl = {0342.45014},
     language = {en},
     url = {https://www.numdam.org/item/ASNSP_1977_4_4_1_179_0/}
}
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Bloom, Frederick. Continuous data dependence for an abstract Volterra integro-differential equation in Hilbert space with applications to viscoelasticity. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 4 (1977) no. 1, pp. 179-207. https://www.numdam.org/item/ASNSP_1977_4_4_1_179_0/

[1] C.M. Dafermos, An Abstract Volterra Equation with Applications to Linear Viscoelasticity, J. Diff. Eqs., 7 (1970), pp. 554-569. | Zbl | MR

[2] R.J. Knops - L.E. Payne, Growth Estimates for Solutions of Evolutionary equations in Hilbert Space with Applications in Elastodynamics, Arch. Rat. Mech. Anal., 41 (1971), pp. 369-398. | Zbl | MR

[3] R.J. Knops - L.E. Payne, Uniqueness in Classical Elastodynamics, Arch. Rat. Mech. Anal., 32 (1968), pp. 349-355. | Zbl | MR

[4] R.J. Knops - L.E. Payne, On Uniqueness and Continuous Dependence in Dynamical Problems of Linear Thermoelasticity, Int. J. Solids Structures, 6 (1969), pp. 1173-1184. | Zbl

[5] H.A. Levine, Logarithmic Convexity and the Cauchy Problem for some Abstract Second Order Differential Inequalities, J. Diff. Eqs., 8 (1970), pp. 34-55. | Zbl | MR

[6] H.A. Levine, Uniqueness and Growth of Weak Solutions to certain Linear Differential Equations in Hilbert Space, J. Diff. Eqs., 17 (1975), pp. 73-81. | Zbl | MR

[7] C.E. Beevers, Uniqueness and Stability in Linear Viscoelasticity, ZAMP, 26 (1975), pp. 177-186. | Zbl | MR

[8] C.E. Beevers, Some Continuous Dependence Results in the Linear Dynamic Theory of Anisotropic Viscoelasticity, Journal de Mécanique, 14 (1975), pp. 1-13. | Zbl | MR

[9] A.C. Murray - M.H. Protter, The Asymptotic Behavior of Solutions of Second Order Systems of Partial Differential Equations, J. Diff . Eqs., 13 (1973), pp. 57-80. | Zbl | MR

[10] R.J. Knops - L.E. Payne, Continuous Data Dependence for the Equations of Classical Elastodynamics, Proc. Camb. Phil. Soc., 66 (1969), pp. 481-491. | Zbl | MR

[11] F. Bloom, Continuous Dependence on Initial Geometry for a Class of Abstract Equations in Hilbert Space, to appear in the J. Math. Anal. Appl. | Zbl | MR

[12] W.A. Day, On the Monotonicity of the Relaxation Functions of Viscoelastic Materials, Proc. Camb. Phil. Soc., 67 (1970), pp. 503-508. | Zbl | MR

[13] F. Bloom, On Stability in Linear Viscoelasticity, Mechanics Research Communications, 3 (1976), pp. 143-150. | Zbl

[14] F. Bloom, Growth Estimates for Solutions to Initial-Boundary Value Problems in Viscoelasticity, to appear in the J. Math. Anal. Appl. | Zbl

[15] F. Bloom, Stability and Growth Estimates for Volterra Integrodifferential Equations in Hilbert Space, Bull. A.M.S., 82 (1976), # 5. | Zbl