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- W276261753 abstract "We consider the fourth-order difierential equation with one- dimensional p-Laplacian (`p(x 00 (t))) 00 = f(t;x(t);x 0 (t);x 00 (t)) a:e: t 2 (0;1); subject to the boundary conditions x 00 (0) = 0; (`p(x 00 (t))) 0 jt=0 = 0; x(0) = Pn=1 ix(»i); x(t) = x(1 t); t 2 (0;1); wherep(s) = jsj pi2s, p > 1, 0 < »1 < »2 < ¢¢¢ < »n < 1 , i 2 R, = 1;2;¢¢¢ ;n, P n=1 i = 1 and f : (0;1) £R 3 ! R is a L 1 -Caratheodory function with f(t;u;v;w) = f(1 t;u;iv;w) for (t;u;v;w) 2 (0;1) £R 3 . We obtain the existence of at least one nonconstant symmetric solution by applying an extension of Mawhin's continuation theorem due to Ge. Furthermore, an example is given to illustrate the results." @default.
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- W276261753 date "2012-01-01" @default.
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- W276261753 title "SYMMETRIC SOLUTIONS FOR A FOURTH-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL $p$-LAPLACIAN AT RESONANCE" @default.
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- W276261753 doi "https://doi.org/10.14317/jami.2012.30.1_2.161" @default.
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