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Existence of positive solutions for a class of \(m\)-point boundary value problems. (English) Zbl 1149.34018
Summary: This paper investigates the existence of positive solutions for a class of second-order singular \(m\)-point Sturm-Liouville-type boundary value problems by using a fixed point theorem in cones. The results significantly extend and improve many known results even for nonsingular cases.
MSC:
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
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References:
[1] doi:10.1016/j.mcm.2006.11.009 · Zbl 1142.34012 · doi:10.1016/j.mcm.2006.11.009
[2] doi:10.1006/jmaa.2000.7320 · Zbl 0988.34009 · doi:10.1006/jmaa.2000.7320
[3] doi:10.1016/S0022-247X(02)00661-3 · Zbl 1028.34014 · doi:10.1016/S0022-247X(02)00661-3
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