Infinitely many solutions for systems of multi-point boundary value problems using variational methods
Keywords
Infinitely many solutions, multi-point boundary value problems, multiplicity results, critical point theoryAbstract
In this paper, we obtain the existence of infinitely many classical solutions to the multi-point boundary value system $$ \cases -(\phi_{p_i}(u'_{i}))'=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n}),\qquad t\in (0,1),\\ \noalign{\medskip} \displaystyle u_{i}(0)=\sum_{j=1}^m a_ju_i(x_j),\quad u_{i}(1)=\sum_{j=1}^m b_ju_i(x_j), \endcases \quad i=1,\ldots,n. $$ Our analysis is based on critical point theory.Downloads
Published
2013-04-22
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1.
GRAEF, John R., HEIDARKHANI, Shapour and KONG, Lingju. Infinitely many solutions for systems of multi-point boundary value problems using variational methods. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 1, pp. 105 - 118. [Accessed 10 December 2024].
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