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Ordinary and Partial Differential Equations pp 317–324Cite as

Semilinear second order evolution equations and regular boundary conditions

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1151))

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References

  1. A.V. BALAKRISHNAN, "Applied Functional Analysis", Springer-Verlag, New York, 1976.

    MATH  Google Scholar 

  2. A.V. BALAKRISHNAN, Fractional powers of closed operators and the semigroups generated by them, Pacific J. Math., 10 (1960), 419–437.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.M. BALL, Strongly continuous semigroups, weak solutions, and the variation of constants formula, Proc. Amer. Math. Soc. 63 (1977), 370–374.

    MathSciNet  MATH  Google Scholar 

  4. R.I. BECKER, Periodic solutions of semilinear equations of evolution of compact type, J. Math. Anal. Appl. 82 (1981), 33–48.

    Article  MathSciNet  MATH  Google Scholar 

  5. R.I. BECKER, Existence of solutions of Hammerstein equations of compact type, Proc. Camb. Phil. Soc. (1981).

    Google Scholar 

  6. R.E. BRUCK, Periodic forcing of solutions of a boundary value problem for a second order differential equation in Hilbert space, J. Math. Anal. Appl. 76 (1980), 150–173.

    Article  MathSciNet  Google Scholar 

  7. M.A. KRASNOSELSKII, "Topological Methods in the Theory of Nonlinear Integral Equations", Pergamon, Oxford, 1964.

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  8. S.G. KREIN, "Linear Differential Equations in Banach Spaces", Translations Vol. 29, Amer. Math. Soc., Providence, Rhode Island, 1971.

    Google Scholar 

  9. G.I. LAPTEV, Eigenvalue problems for second-order differential equations in Banach and Hilbert spaces, Differencial’nye Uravnenija 2 No. 9 (1966), 1151–1160.

    MathSciNet  MATH  Google Scholar 

  10. H. TANABE, "Equations of Evolution", Monographs and studies in mathematics 6, Pitman, Belmont, U.S.A., 1979.

    MATH  Google Scholar 

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Authors
  1. Herbert C. Sager
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Brian D. Sleeman Richard J. Jarvis

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© 1985 Springer-Verlag

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Sager, H.C. (1985). Semilinear second order evolution equations and regular boundary conditions. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074740

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  • DOI: https://doi.org/10.1007/BFb0074740

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

  • eBook Packages: Springer Book Archive

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