Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 40, pp. 1-9.
Title: Existence of global solutions for systems of second-order
functional-differential equations with p-Laplacian
Authors: Miroslav Bartusek (Masaryk Univ., Janackovo nam, Czech Republic)
Milan Medved (Comenius Univ., Bratislava, Slovakia)
Abstract:
We find sufficient conditions for the existence of global
solutions for the systems of functional-differential equations
$$
\big(A(t)\Phi_p(y')\big)' + B(t)g(y', y'_t) + R(t)f(y, y_t) = e(t),
$$
where $\Phi_p(u) = (|u_1|^{p-1}u_1, \dots, |u_n|^{p-1}u_n)^T$
which is the multidimensional p-Laplacian.
Submitted January 29, 2008. Published March 20, 2008.
Math Subject Classifications: 34C11, 34K10.
Key Words: Second order functional-differential equation;
p-Laplacian; global solution.