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Existence of global solutions for systems of second-order functional-differential equations with $$p$$-Laplacian. (English) Zbl 1171.34335
Summary: 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.

##### MSC:
 34K10 Boundary value problems for functional-differential equations
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