Geodesic
Bifurcation theorems for Hammerstein nonlinear integral equations
Glasgow mathematical journal, Tome 44 (2002) no. 3, pp. 471-481

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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 equationu(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. 
Faraci, Francesca. Bifurcation theorems for Hammerstein nonlinear integral equations. Glasgow mathematical journal, Tome 44 (2002) no. 3, pp. 471-481. doi: 10.1017/S0017089502030124
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     author = {Faraci, Francesca},
     title = {Bifurcation theorems for {Hammerstein} nonlinear integral equations},
     journal = {Glasgow mathematical journal},
     pages = {471--481},
     year = {2002},
     volume = {44},
     number = {3},
     doi = {10.1017/S0017089502030124},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502030124/}
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