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Wong, P. J. Y.; Agarwal, R. P.

Multiple solutions for a system of \((n_i p_i)\) boundary value problems. (English) Zbl 1160.34313

Z. Anal. Anwend. 19, No. 2, 511-528 (2000).
Summary: We consider the system of boundary value problems \[ \begin{cases} u^{(n_i)}_i(t)+f_i(t,u_1(t),\dots,u_m(t))=0\\ u^{(j)}_i(0)=0,\quad u^{(p_i)}_i(1)=0\end{cases} \] for \(t\in[0,1]\), \(i=1,\dots,m\) and \(0\leq j\leq n_i-2\) where \(n_i\geq 2\) and \(1\leq p_i\leq n_i-1\). Several criteria are offered for the existence of single and twin solutions of the system that are of fixed signs.

Cited in 21 Documents

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
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\textit{P. J. Y. Wong} and \textit{R. P. Agarwal}, Z. Anal. Anwend. 19, No. 2, 511--528 (2000; Zbl 1160.34313)
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References:

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