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Theory and Applications of Singular Perturbations pp 72–83Cite as

Singular-singularly perturbed linear equations in Banach spaces

  • Part I: Theory of Singular Perturbations
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 942))

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References

  1. D. Hilbert: Grundzüge einer Allgemeinen Theorie der Linearen Integralgleichungen, Chelsea Publishing Co, New York (1953).

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  2. C. Cercignani: Theory and Application of the Boltzmann Equation, Scottish Academic Press, Edinburgh (1975).

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  3. A.B. Vasil'eva, V.F. Butuzov: Singularly Perturbed Equations in Critical Cases, Moscow University Press, Moscow (1978) (in Russian)

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  4. I.L. Lions: Perturbation Singulières dans les Problèmes aux Limites et en Contrôle Optimal, Springer Verlag, Berlin (1973).

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  5. J. Mika: New Asymptotic Expansion Algorithm for Singularly Perturbed Evolution Equations, Math. Meth. in the Appl. Scie. 3, 172–188 (1981).

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  6. M. Borysiewicz, J. Mika, G. Spiga: Asymptotic Analysis of the Linear Boltzmann Equation, Math. Meth. in the Appl. Scie., 3, 405–423 (1981).

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  7. J. Mika: Singularly perturbed evolution equations in Banach spaces, J. Math. Anal. and Appl. 58, 189–201 (1977).

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  8. J. Mika: Hilbert and Chapman-Enskog Asymptotic Expansions, Progress in Nuclear Energy (in print)

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  9. M. Borysiewicz: Stiff Variational Problem in Linear Transport Theory, Progress in Nuclear Energy (in print)

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Author information

Author notes

  1. Janusz Mika

    Present address: Institute of Nuclear Research, Swierk, 05-400, Otwock, Poland

Authors and Affiliations

  1. Department of Mathematics, University of Kaiserslautern, 6750, Kaiserslautern, West Germany

    Janusz Mika

Authors
  1. Janusz Mika
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W. Eckhaus E. M. de Jager

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© 1982 Springer-Verlag

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Mika, J. (1982). Singular-singularly perturbed linear equations in Banach spaces. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094741

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  • DOI: https://doi.org/10.1007/BFb0094741

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11584-7

  • Online ISBN: 978-3-540-39332-0

  • eBook Packages: Springer Book Archive

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