Publication Cover
Applicable Analysis
An International Journal
Volume 12, 1981 - Issue 2
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Original Articles

On the nonexistence of globally bounded solutions to initial-history value problems for integrodifferential equationsFootnote

Pages 87-104 | Received 23 Apr 1979, Published online: 10 May 2007

References

  • Bloom , F. 1976 . Stability and growth estimates for Volterra integrodifferential equations in Hilbert space . Bull A.M.S , 82
  • Bloom , F. 1977 . Growth estimates for solutions to initial-boundary value problems in viscoelasticity . J. Math. Anal Applic , 59 : 469 – 478 .
  • Bloom , F. 1979 . Stability and growth estimates for electric fields in non-conducting material dielectrics . J. Math. Anal Applic , 61 : 292 – 322 .
  • Bloom , F. 1980 . Bounds for solutions to a. class of damped integrodifferential equations associated with a theory of nonconducting material dielectric response . SI AM J. Analysis , 11 : 265 – 291 .
  • John , F. 1960 . Continuous dependence on data for solutions of partial differential equations with a prescribed bound . Comm. Pure Appl. Math , 13 : 551 – 585 .
  • Bloom , F. 1979 . Remarks on the asymptotic behavior of solutions to damped evolution equations in Hilbert space . Proc. A.M.S , 75 : 25 – 31 .
  • Bloom , F. 1979 . Growth estimates for electric displacement fields and bounds for constitutive constants in the Maxwell-Hopkinson theory of dielectrics . Int. J. Eng. Sci , 17 : 1 – 15 .
  • Toupin , R.A. and Rivlin , R.S. 1960 . Linear functional electromagnetic constitutive relations and plane waves in a hemihedral isotropic material . Arch. Rat. Mech. Anal , 6 : 188 – 199 .
  • Knops , R.L. and Payne , L.E. 1968 . Stability in linear elasticity . Int. J. Solids and Structures , 4 : 1233 – 1242 .
  • Knops , R.J. 1973 . Logarithmic convexity and other techniques applied to problems in continuum mechanics . Sym. on Non-Well-Bas'ed Problems and Logarithmic Convexity , 316 : 31 – 54 .
  • Payne , L.E. 1973 . Some general remarks on improperly posed problems for partial differential equations . Sym. on Non-Well-Posed Problems and Logarithmic Convexity , 316 : 1 – 30 .
  • Dafermos , C.M. 1970 . Asymptotic stability in viscoelasticity . Arch. Rat. Mech. Anal , 37 : 297 – 308 .
  • Hale , J.K. 1969 . Dynamical systems and stability . Math. Anal. Appi , 26 : 39 – 59 .

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