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- W1515453074 abstract "In this paper, we consider the multipoint boundary value problem for the one-dimensional $p$-Laplacian $$left(phi_p(u'(t))right)' + q(t) fleft(t,u(t),u'(t)right) = 0,~~~~ t in (0,1), $$ subject to the boundary value conditions: $$ u(0) = sum_{i=1}^{m-2} a_{i} u(xi_{i}), u(1) = sum_{i=1}^{m-2} b_{i} u(xi_{i}), $$ where $phi_{p}(s) = |s|^{p-2}s$, $p gt 1$, $xi_{i} in (0,1)$ with $0 lt xi_{1} lt xi_{2} lt cdots lt xi_{m-2} lt 1$ and $a_{i}, b_{i} in [0,1)$, $0 leq sumlimits_{i=1}^{m-2} a_{i} lt 1$, $0 leq sumlimits_{i=1}^{m-2} b_{i} lt 1$. Using a fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term $f$ is involved with the first-order derivative explicitly." @default.
- W1515453074 created "2016-06-24" @default.
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- W1515453074 date "2010-04-01" @default.
- W1515453074 modified "2023-09-23" @default.
- W1515453074 title "EXISTENCE OF THREE POSITIVE SOLUTIONS FOR M-POINT BOUNDARY-VALUE PROBLEM WITH ONE-DIMENSIONAL P-LAPLACIAN" @default.
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- W1515453074 doi "https://doi.org/10.11650/twjm/1500405811" @default.
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