@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}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 4}, number = {1}, year = {1977}, mrnumber = {430711}, zbl = {0342.45014}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1977_4_4_1_179_0/} }
TY - JOUR AU - Bloom, Frederick TI - Continuous data dependence for an abstract Volterra integro-differential equation in Hilbert space with applications to viscoelasticity JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1977 SP - 179 EP - 207 VL - 4 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1977_4_4_1_179_0/ LA - en ID - ASNSP_1977_4_4_1_179_0 ER -
%0 Journal Article %A Bloom, Frederick %T Continuous data dependence for an abstract Volterra integro-differential equation in Hilbert space with applications to viscoelasticity %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1977 %P 179-207 %V 4 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1977_4_4_1_179_0/ %G en %F ASNSP_1977_4_4_1_179_0
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, Serie 4, Volume 4 (1977) no. 1, pp. 179-207. http://www.numdam.org/item/ASNSP_1977_4_4_1_179_0/
[1] An Abstract Volterra Equation with Applications to Linear Viscoelasticity, J. Diff. Eqs., 7 (1970), pp. 554-569. | MR | Zbl
,[2] Growth Estimates for Solutions of Evolutionary equations in Hilbert Space with Applications in Elastodynamics, Arch. Rat. Mech. Anal., 41 (1971), pp. 369-398. | MR | Zbl
- ,[3] Uniqueness in Classical Elastodynamics, Arch. Rat. Mech. Anal., 32 (1968), pp. 349-355. | MR | Zbl
- ,[4] On Uniqueness and Continuous Dependence in Dynamical Problems of Linear Thermoelasticity, Int. J. Solids Structures, 6 (1969), pp. 1173-1184. | Zbl
- ,[5] Logarithmic Convexity and the Cauchy Problem for some Abstract Second Order Differential Inequalities, J. Diff. Eqs., 8 (1970), pp. 34-55. | MR | Zbl
,[6] Uniqueness and Growth of Weak Solutions to certain Linear Differential Equations in Hilbert Space, J. Diff. Eqs., 17 (1975), pp. 73-81. | MR | Zbl
,[7] Uniqueness and Stability in Linear Viscoelasticity, ZAMP, 26 (1975), pp. 177-186. | MR | Zbl
,[8] Some Continuous Dependence Results in the Linear Dynamic Theory of Anisotropic Viscoelasticity, Journal de Mécanique, 14 (1975), pp. 1-13. | MR | Zbl
,[9] The Asymptotic Behavior of Solutions of Second Order Systems of Partial Differential Equations, J. Diff . Eqs., 13 (1973), pp. 57-80. | MR | Zbl
- ,[10] Continuous Data Dependence for the Equations of Classical Elastodynamics, Proc. Camb. Phil. Soc., 66 (1969), pp. 481-491. | MR | Zbl
- ,[11] Continuous Dependence on Initial Geometry for a Class of Abstract Equations in Hilbert Space, to appear in the J. Math. Anal. Appl. | MR | Zbl
,[12] On the Monotonicity of the Relaxation Functions of Viscoelastic Materials, Proc. Camb. Phil. Soc., 67 (1970), pp. 503-508. | MR | Zbl
,[13] On Stability in Linear Viscoelasticity, Mechanics Research Communications, 3 (1976), pp. 143-150. | Zbl
,[14] Growth Estimates for Solutions to Initial-Boundary Value Problems in Viscoelasticity, to appear in the J. Math. Anal. Appl. | Zbl
,[15] Stability and Growth Estimates for Volterra Integrodifferential Equations in Hilbert Space, Bull. A.M.S., 82 (1976), # 5. | Zbl
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