Abstract
This paper investigates the following singular systems of nonlinear second-order three-point boundary value problems
\(\left\{ \begin{array} {ll} -u''=f(t,v), & {t\in(0,1)} \\ -v''=g(t,u), & {t\in(0,1)} \\ u'(0)=v'(0)=0, & u(1)={\alpha u'(\eta)},v(1)=\alpha v'(\eta) \\ \end{array} \right.\)
Where η ∈ (0,1), α < 0, Under some weaker conditions, the existence of positive solutions is obtained by applying the fixed point theorem of cone expansion and compression.
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Wang, C. (2012). Positive Solutions for Singular Systems of Three-Point Boundary Value Problems. In: Zeng, D. (eds) Advances in Computer Science and Engineering. Advances in Intelligent and Soft Computing, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27948-5_19
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DOI: https://doi.org/10.1007/978-3-642-27948-5_19
Publisher Name: Springer, Berlin, Heidelberg
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