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Bifurcation theorems for Hammerstein nonlinear integral equations
Published online by Cambridge University Press: 26 February 2003
Extract
In this paper, we establish two results assuring that \lambda =0 is a bifurcation point in L^ \rm{inf} ty (\Omega ) for the Hammerstein integral equation
u(x)=\lambda \int _\Omega k(x,y)f({}y,u({}y))dy.
We also present an application to the two-point boundary value problem
\cases{ -u''=\lambda f(x,u)\hfill \hbox {a.e. in [0,1] } \cr u(0)=u(1)=0 } \right.
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- Research Article
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- 2002 Glasgow Mathematical Journal Trust
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