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Perturbation results for hyperbolic evolution systems in Hilbert spaces

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The purpose of this paper is to derive a perturbation theory of evolution systems of the hyperbolic second order hyperbolic equations. We give an example of a partial functional equation as an application of the preceding result in case of the mixed problems for hyperbolic equations of second order with unbounded principal operators.

Abstract

The purpose of this paper is to derive a perturbation theory of evolution systems of the hyperbolic second order hyperbolic equations. We give an example of a partial functional equation as an application of the preceding result in case of the mixed problems for hyperbolic equations of second order with unbounded principal operators.

참고문헌 (14)

  1. A. Belarbi, "Existence theory for perturbed impulsive hyperbolic differ-ential inclusions with variable times", J. Math. Anal. Appl, 327(2), pp.1116~1129 (2007)
  2. W. S. Edelstein, "Uniqueness theorem in the linear dynamic theory of anisotropic viscoelastic solid", Arch. Rat. Mech. Anal, 17, pp.47~60 (1964)
  3. M. J. Garrido-Atienza, "Existence and uniqueness of solutions for delay evolution equations of second order in time", J. Math. Anal. Appl, 283(2), pp.582~609 (2003)
  4. J. A. Goldstein, "Semigroup of Linear Operators and Applications" (1985), Oxford University Press, Inc
  5. J. M. Jeong, "Approximate controllability for semilinear retarded functional differential equations", J. Dynam. Control Systems, 5(3), pp.329~346 (1999)
  6. A. G. Kartsatos, "An L2-approach to second-order nonlinear func-tional evolutions involving m-accretive operators in Banach spaces", Differential Integral Equations, 14(7), pp.833~866 (2001)
  7. T. Kato, "Perturbation Theory for Linear Operators" (1966), Springer-Verlag
  8. T. Kato, "Linear evolutions equations of “hyperbolic” type", J. Fac. Sci. Uni. Tokyo Sec. I, 17, pp.241~258 (1970)
  9. J. L. Lions, "Non-Homogeneous Boundary value Problems and Applica-tions" (1972), Springer-Verlag
  10. D. G. Park, "Regular problems for semilinear hyperbolic type equations", Nonlinear Differ. Equ. Appl, 16, pp.235~253 (2009)
  11. R. S. Phillips, "Perturbation theory for semi-groups of linear operator", Trans. Amer. Math. Soc, 74, pp.199~221 (1953)
  12. H. Tanabe, "Equations of Evolution" (1979), Pitman
  13. J. Wu, "Theory and Applications of Partial Functional Differential Equations" (1996), Springer-Verlag
  14. K. Yosida, "Functional Analysis" (1968), Springer-Verlag

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