Titlebook: Nonlinear Functional Analysis; A First Course S. Kesavan Book 2004 Hindustan Book Agency 2004

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Bifurcation Theory,o be answered satisfactorily, even when the spaces . and . are finite dimensional. Very often, we are led to study nonlinear equations dependent on a parameter of the form.where .: . × . → ., with ., . and . being Banach spaces. Usually, it will turn out that . = ℝ. It is quite usual for the above e

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Bifurcation Theory,parameter of the form.where .: . × . → ., with ., . and . being Banach spaces. Usually, it will turn out that . = ℝ. It is quite usual for the above equation to possess a ‘nice’ family of solutions (often called the trivial solutions). However, for certain values of λ, new solutions may appear and hence we use the term ‘bifurcation’.

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