Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line
Applications of Mathematics, Tome 58 (2013) no. 2, pp. 179-204
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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.
DOI :
10.1007/s10492-013-0009-3
Classification :
34B10, 34B15, 34B40, 35B10
Keywords: second order differential equation on a half line; non-homogeneous boundary value problem; Leggett-Williams fixed point theorem
Keywords: second order differential equation on a half line; non-homogeneous boundary value problem; Leggett-Williams fixed point theorem
@article{10_1007_s10492_013_0009_3,
author = {Liu, Yuji and Wong, Patricia J. Y.},
title = {Unbounded solutions of {BVP} for second order {ODE} with $p${-Laplacian} on the half line},
journal = {Applications of Mathematics},
pages = {179--204},
publisher = {mathdoc},
volume = {58},
number = {2},
year = {2013},
doi = {10.1007/s10492-013-0009-3},
mrnumber = {3034821},
zbl = {1274.34088},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0009-3/}
}
TY - JOUR AU - Liu, Yuji AU - Wong, Patricia J. Y. TI - Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line JO - Applications of Mathematics PY - 2013 SP - 179 EP - 204 VL - 58 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0009-3/ DO - 10.1007/s10492-013-0009-3 LA - en ID - 10_1007_s10492_013_0009_3 ER -
%0 Journal Article %A Liu, Yuji %A Wong, Patricia J. Y. %T Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line %J Applications of Mathematics %D 2013 %P 179-204 %V 58 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0009-3/ %R 10.1007/s10492-013-0009-3 %G en %F 10_1007_s10492_013_0009_3
Liu, Yuji; Wong, Patricia J. Y. Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line. Applications of Mathematics, Tome 58 (2013) no. 2, pp. 179-204. doi: 10.1007/s10492-013-0009-3
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