Publication Cover
Applicable Analysis
An International Journal
Volume 24, 1987 - Issue 1-2
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Original Articles

Bounds for functionals of solutions to a class of nonlinear hyperbolic equations

Pages 43-52 | Received 28 Jul 1986, Published online: 02 May 2007

References

  • Ames , K. A. and Adams , E. A constructive method for obtaining bounds on solutions of nonlinear hyperbolic problems . Appl. Anal ,
  • Ames , W. F. 1977 . Numerical Methods for Partial Differential Equations , New York : Academic Press .
  • Ames , W. F. , Lee , S. Y. and Vicario Jr , A. A. 1970 . Longitudinal wave propagation on a traveling threadline - II . Int. J, Non-Linear Mech , 5 : 413
  • Carrier , G. F. 1945 . Q. Appl. Math , 3 : 157
  • Chand , R. , Davy , D. T. and Ames , W. F. 1976 . On the similarity solutions of wave propagation for a general class of non-linear dissipative materials . Int. J. Non-Linear Mech , 11 : 191
  • Cristescu , N. 1967 . Dynamic Plasticity North Holland
  • Knops , R. J. , Levine , H. A. and Payne , L. E. 1972 . Non-existence, Instability and Growth Theorems for Solutions of a Class of Abstract Nonlinear Equations with Applications to Nonlinear Elastodynamics . Arch. Rational Mech. Anal , 55 : 52 – 72 .
  • Payne L. E. Improperly Posed Problems in Partial Differential Equations 1975
  • Walter , W. 1970 . Differential and Integral Inequalities , Berlin : Springer-Verlag .

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