Geodesic
Triple solutions for nonlinear singular m-point boundary value problem
Wang, Fuli1
1 School of Mathematics and Physics, Changzhou University, Changzhou, China
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 262-269.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we study the existence of three solutions to the following nonlinear m-point boundary value problem
$ \begin{cases} u''(t) + \beta^2u(t) = h(t)f(t, u(t)),\,\,\,\,\, 0 t 1,\\ u'(0) = 0, u(1) =\Sigma^{m-2}_{i=1}\alpha_i u(\eta_i), \end{cases} $
where $0\beta\frac{\pi}{2}, f\in C([0,1]\times \mathbb{R}^+, \mathbb{R}^+). h(t)$ is allowed to be singular at $t = 0$ and $t = 1$. The arguments are based only upon the Leggett-Williams fixed point theorem. We also prove nonexist results.
DOI : 10.22436/jnsa.004.04.04
Classification : 34B15, 34B25
Keywords: m-point boundary value problem, Positive solutions, Fixed point theorem.

Wang, Fuli 1

1 School of Mathematics and Physics, Changzhou University, Changzhou, China 
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Wang, Fuli. Triple solutions for nonlinear singular m-point boundary value problem. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 262-269. doi : 10.22436/jnsa.004.04.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.04.04/

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