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Zbl 0616.34012
Dunninger, D.R.; Kurtz, J.C.
Existence of solutions for some nonlinear singular boundary value problems. (English)
[J] J. Math. Anal. Appl. 115, 369-405 (1986). ISSN 0022-247X

The authors consider the question of existence of solutions to the following boundary value problem $Lu=f(t,u,pu')$ on (0,1) in which $Lu\equiv (1/q(t))(p(t)u'(t))'$ with $u(1)=0$. The boundary conditions at $t=0$ are to be determined according to the behaviour of p(t) near $t=0$. Among the other conditions, it is assumed that p,q$\in C[0,1]\cap C'[0,1]$ with $p,q>0$ on (0,1] and $p(0)=0$.
[V.Sree Hari Rao]

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
34A34 Nonlinear ODE and systems, general

Keywords: Dirichlet problem; existence of solutions

Cited in: Zbl 0980.34017 Zbl 0790.34027 Zbl 0761.39002 Zbl 0808.34026

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