Publication Cover
Applicable Analysis
An International Journal
Volume 62, 1996 - Issue 1-2
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Original Articles

Regular solutions to quasilinear integrodifferential equations in banach spaces

Pages 1-9 | Received 01 Apr 1996, Published online: 20 Jan 2011

References

  • Amann , H. 1986 . Quasilinear evolution equations and parabolic systems . Trans. Amer. Math. Soc. , 29 : 191 – 227 .
  • Bahuguna , D. 1995 . Quasilinear integrodifferential equations in Banach spaces . Nonlinear Anal. TMA, , 24 : 175 – 183 .
  • Crandall , M. G. and Souganidis , P. E. 1986 . Convergence of diflerence approximations of quasilinear evolution equations . Nonlinear Anal. TMA , 10 : 425 – 445 .
  • Kartsatos , A. G. 1978 . Perturbations of m-accretive operators and quasilinear evolution equations . Math. Soc. Japan , 10 : 75 – 84 .
  • Kartsatos , A. G. 1991 . The existence of bounded solutions on the real line of perturbed nonlinear evolution equations in general Banach spaces . Nonlinear Anal. TMA , 17 : 1085 – 1092 .
  • Kartsatos , A. G. and Parrott , M. E. 1982 . Existence of solutions and Galerkin Approximations for nonlinear functional equations . Tohoku Math. J. , 34 : 509 – 523 .
  • Kato , S. 1985 . Nonhomogeneous quasilinear evolution equations in Banach spaces . Norilinear Anal. TMA , 9 : 11061 – 1071 .
  • Kato , T. 1967 . Nonlinear semigroups and evolution equations in Banach spaces . J. Math. Soc. Japan , 19 : 508 – 520 .
  • Kato , T. 1985 . Quasilinear equations of evolution, with applications to partial differential equations . Lecture Notes in Math. , 448 : 25 – 70 .
  • Kato , T. 1986 . Nonlinear equations of evolution in Banach spaces . Proc. Sym. Pure Math. , 45 : 9 – 23 .
  • Ladas , G. L. and Lakshmikantham , V. 1973 . Difirential Equations in Abstract Spaces , New York : Academic Press .
  • Lunardy , A. 1985 . Global solutions to abstract quasilinear parabolic equations . J. Differential Equations , 58 : 228 – 242 .
  • Pazy , A. 1983 . Semigroups of Linear Operators and Applications to Partial Diflererltial Equations , New York : Springer-Verlag .
  • Poitier-Ferry , M. 1981 . The linearization principle for stability of solutions of quasilinear parabolic equations . Arch. Rational Mech. Anal. , 77 : 301 – 320 .

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