Existence of global solutions for systems of second-order functional-differential equations with \(p\)-Laplacian
Electronic journal of differential equations, Tome 2008 (2008)
We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations
where $\Phi_p(u) = (|u_1|^{p-1}u_1, \dots, |u_n|^{p-1}u_n)^T$ which is the multidimensional p-Laplacian.
| $ \big(A(t)\Phi_p(y')\big)' + B(t)g(y', y'_t) + R(t)f(y, y_t) = e(t), $ |
Classification :
34C11, 34K10
Keywords: second order functional-differential equation, p-Laplacian, global solution
Keywords: second order functional-differential equation, p-Laplacian, global solution
@article{EJDE_2008__2008__a64,
author = {Bartusek, Miroslav and Medved, Milan},
title = {Existence of global solutions for systems of second-order functional-differential equations with {\(p\)-Laplacian}},
journal = {Electronic journal of differential equations},
year = {2008},
volume = {2008},
zbl = {1171.34335},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a64/}
}
TY - JOUR AU - Bartusek, Miroslav AU - Medved, Milan TI - Existence of global solutions for systems of second-order functional-differential equations with \(p\)-Laplacian JO - Electronic journal of differential equations PY - 2008 VL - 2008 UR - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a64/ LA - en ID - EJDE_2008__2008__a64 ER -
%0 Journal Article %A Bartusek, Miroslav %A Medved, Milan %T Existence of global solutions for systems of second-order functional-differential equations with \(p\)-Laplacian %J Electronic journal of differential equations %D 2008 %V 2008 %U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a64/ %G en %F EJDE_2008__2008__a64
Bartusek, Miroslav; Medved, Milan. Existence of global solutions for systems of second-order functional-differential equations with \(p\)-Laplacian. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a64/