Elements of Nonlinear Functional Analysis

  • L. P. Lebedev
  • I. I. Vorovich
Part of the Springer Monographs in Mathematics book series (SMM)


From the viewpoint of functional analysis, nonlinear problems of mechanics are more complicated than linear problems; as in mechanics, they require new techniques for their study. Many of them, such as nonlinear elasticity in the general case, provide a wide field of investigation for mathematicians (see Antman [2]) ; the problem of existence of solutions in nonlinear elasticity in general is still open.


Generalize Solution Implicit Function Theorem Real Banach Space Degree Theory Ritz Method 
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Copyright information

© Springer-Verlag New York, Inc. 2003

Authors and Affiliations

  • L. P. Lebedev
    • 1
  • I. I. Vorovich
  1. 1.Departamento de MatemáticasUniversidad Nacional de ColombiaBogotáColombia

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