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Zbl 1173.34310
Ma, Ruyun; Han, Xiaoling
Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function. (English)
[J] Nonlinear Anal., Theory Methods Appl. 71, No. 5-6, A, 2119-2125 (2009). ISSN 0362-546X

Summary: We investigate the existence of nodal solutions of the indefinite weight boundary value problem $$u^{\prime \prime }+rh(t)f(u)= 0 , \quad 0 < t < 1,\qquad u(0)=u(1)=0, $$ where $h\in C$[0,1] changes sign. The proof of our main result is based upon bifurcation techniques.

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
34C23 Bifurcation (periodic solutions)

Keywords: indefinite weight; bifurcation; nodal solutions

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