Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of
positive solutions to semipositone right focal eigenvalue problems
,
,
,
,
, where
,
is fixed,
is continuous with
for some positive constant
.
References
-
Agarwal, RP: Boundary Value Problems for Higher Order Differential Equations,p. xii+307. World Scientific, Singapore (1986)
-
Agarwal, RP, O'Regan, D, Lakshmikantham, V: Singular
focal and
higher order boundary value problems. Nonlinear Analysis: Theory, Methods & Applications. 42(2), 215–228 (2000). PubMed Abstract | Publisher Full Text -
Boey, KL, Wong, PJY: Two-point right focal eigenvalue problems on time scales. Applied Mathematics and Computation. 167(2), 1281–1303 (2005). Publisher Full Text
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He, X, Ge, W: Positive solutions for semipositone
right focal boundary value problems. Applicable Analysis. 81(2), 227–240 (2002). Publisher Full Text -
Ma, R: Multiple positive solutions for a semipositone fourth-order boundary value problem. Hiroshima Mathematical Journal. 33(2), 217–227 (2003)
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Wong, PJY, Agarwal, RP: Multiple positive solutions of two-point right focal boundary value problems. Mathematical and Computer Modelling. 28(3), 41–49 (1998). Publisher Full Text
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Wong, PJY, Agarwal, RP: On two-point right focal eigenvalue problems. Zeitschrift für Analysis und ihre Anwendungen. 17(3), 691–713 (1998). PubMed Abstract
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Agarwal, RP, Wong, F-H: Existence of positive solutions for non-positive higher-order BVPs. Journal of Computational and Applied Mathematics. 88(1), 3–14 (1998). Publisher Full Text




