On coertative resolvability of an equation with parameter

Resolvabillty in Holder anisotropic spaces of equation
$$\lambda u(x)+P(D)u(x)=f(x),~~x\in\mathrm{R}_n$$
is established, where $P(D)$ – is a quasihomogeneous semielliptic operator with real constant coefficients, $\lambda$ – is a complex number.