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Article

Liu, Yuji ; Wong, Patricia J. Y.
Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 179-204
MSC: 34B10, 34B15, 34B40, 35B10 | MR 3034821 | Zbl 1274.34088 | DOI: 10.1007/s10492-013-0009-3
Keywords:
second order differential equation on a half line; non-homogeneous boundary value problem; Leggett-Williams fixed point theorem
Summary:
By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.
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