Estimations of noncontinuable solutions of second order differential equations with $p$-Laplacian
Archivum mathematicum, Tome 46 (2010) no. 2, pp. 135-144
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We study asymptotic properties of solutions for a system of second differential equations with $p$-Laplacian. The main purpose is to investigate lower estimates of singular solutions of second order differential equations with $p$-Laplacian $(A(t)\Phi _{p}(y^{\prime }))^{\prime }+B(t)g(y^{\prime })+R(t)f(y)=e(t)$. Furthermore, we obtain results for a scalar equation.
Classification :
34A12, 34C11
Keywords: second order differential equation; $p$-Laplacian; asymptotic properties; lower estimate; singular solution
Keywords: second order differential equation; $p$-Laplacian; asymptotic properties; lower estimate; singular solution
@article{ARM_2010__46_2_a5,
author = {Pek\'arkov\'a, Eva},
title = {Estimations of noncontinuable solutions of second order differential equations with $p${-Laplacian}},
journal = {Archivum mathematicum},
pages = {135--144},
publisher = {mathdoc},
volume = {46},
number = {2},
year = {2010},
mrnumber = {2684255},
zbl = {1240.34187},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a5/}
}
TY - JOUR AU - Pekárková, Eva TI - Estimations of noncontinuable solutions of second order differential equations with $p$-Laplacian JO - Archivum mathematicum PY - 2010 SP - 135 EP - 144 VL - 46 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a5/ LA - en ID - ARM_2010__46_2_a5 ER -
Pekárková, Eva. Estimations of noncontinuable solutions of second order differential equations with $p$-Laplacian. Archivum mathematicum, Tome 46 (2010) no. 2, pp. 135-144. http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a5/