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Nonlinear Problems in the Physical Sciences and Biology pp 1–14Cite as

Lyapunov methods and equations of parabolic type

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 322))

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References

  1. Amann, H., On the existence of positive solutions of nonlinear elliptic boundary value problems, Indiana Univ. Math. J. 21, 125–146 (1971).

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  2. Aris, R., On stability criteria of chemical reactor engineering, Chem. Eng. Sci. 24, 149–169 (1969).

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  3. Chafee, N. and Infante, E.F., A bifurcation problem for a nonlinear partial differential equation of parabolic type, to appear.

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  5. Keller, H. B. and Cohen, D.S., Some positone problems suggested by nonlinear heat generation, Jour. Math. Mech. 16, 1361–1376 (1967).

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  6. Stattinger, D. H., Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. 21, 979–1000 (1972).

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  7. Simpson, R. B. and Cohen, D. S., Positive solutions of nonlinear elliptic eigenvalue problems, J. Math. Mech. 19, 895–910 (1970).

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  8. Vainberg, M. M., Variational methods for the study of nonlinear operators, Holden-Day, San Francisco 1964.

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  9. Zubov, V., Methods of A. M. Lyapunov and their application, Noordhoff, 1964.

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Author information

Authors and Affiliations

  1. Department of Mathematics, State University of New York, Stony Brook

    J. F. G. Auchmuty

  2. Indiana University, Bloomington

    J. F. G. Auchmuty

Authors
  1. J. F. G. Auchmuty
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Ivar Stakgold Daniel D. Joseph David H. Sattinger

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© 1973 Springer Verlag

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Auchmuty, J.F.G. (1973). Lyapunov methods and equations of parabolic type. In: Stakgold, I., Joseph, D.D., Sattinger, D.H. (eds) Nonlinear Problems in the Physical Sciences and Biology. Lecture Notes in Mathematics, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060559

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  • DOI: https://doi.org/10.1007/BFb0060559

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06251-6

  • Online ISBN: 978-3-540-38558-5

  • eBook Packages: Springer Book Archive

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