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Studies on a multi-point boundary value problem for second order differential equation with $p$-Laplacian

In: Mathematica Slovaca, vol. 59, no. 6
Xingyuan Liu - Yuji Liu
Detaily:
Rok, strany: 2009, 753 - 766
Kľúčové slová:
one-dimension $p$-Laplacian differential equation, multi-point boundary value problem, positive solution
O článku:
The existence of at least one solution of the following multi-point boundary value problem

$$ \{\begin{array}{l}[φ(x'(t))]' =f(t,x(t),x'(t)),   t\in (0,1), x(0)-∑i=1mαi x'(ξi)=0, x'(1)- ∑i=1mβix(ξi)=0 \end{array}. $$

is studied, where $αi\in \Bbb R $, $βi\in \Bbb R $ for all $i=1,…,m$. Examples are presented to illustrate the main result.
Ako citovať:
ISO 690:
Liu, X., Liu, Y. 2009. Studies on a multi-point boundary value problem for second order differential equation with $p$-Laplacian. In Mathematica Slovaca, vol. 59, no.6, pp. 753-766. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0161-0

APA:
Liu, X., Liu, Y. (2009). Studies on a multi-point boundary value problem for second order differential equation with $p$-Laplacian. Mathematica Slovaca, 59(6), 753-766. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0161-0
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