Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type
Mathematica Bohemica, Tome 125 (2000) no. 2, pp. 199-213
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as $ t \to\infty$.
DOI :
10.21136/MB.2000.125952
Classification :
34K11, 34K25, 34K40
Keywords: quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem
Keywords: quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem
@article{10_21136_MB_2000_125952,
author = {Kusano, Taka\^{s}i and Maru\v{s}iak, Pavol},
title = {Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type},
journal = {Mathematica Bohemica},
pages = {199--213},
publisher = {mathdoc},
volume = {125},
number = {2},
year = {2000},
doi = {10.21136/MB.2000.125952},
mrnumber = {1768808},
zbl = {0973.34067},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.125952/}
}
TY - JOUR AU - Kusano, Takaŝi AU - Marušiak, Pavol TI - Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type JO - Mathematica Bohemica PY - 2000 SP - 199 EP - 213 VL - 125 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.125952/ DO - 10.21136/MB.2000.125952 LA - en ID - 10_21136_MB_2000_125952 ER -
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Kusano, Takaŝi; Marušiak, Pavol. Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type. Mathematica Bohemica, Tome 125 (2000) no. 2, pp. 199-213. doi: 10.21136/MB.2000.125952
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