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On Lyapunov-type inequality for quasilinear systems

open access: yesApplied Mathematics and Computation, 2010
A Lyapunov-type inequality is derived for the quasilinear system \[ -\left(r_1(x)|u'(x)|^{p-2}u'(x)\right)'=f_1(x) |u(x)|^{\alpha-2}u(x)|v(x)|^{\beta}, \] \[ -\left(r_2(x)|v'(x)|^{q-2}v'(x)\right)'=f_2(x) |u(x)|^{\theta}|v(x)|^{\gamma-2}v(x), \] where both components of the solution \((u(x),v(x))\) have consecutive zeros at the points \(a,b\in\mathbb R\
Devrim Cakmak
exaly   +4 more sources

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