Abstract The impulse response of a fractional-order system with the transfer function $$s^{\delta }/{[(s^{\alpha }-a)^2+b^2]^n}$$ s δ / [ ( α - a ) </mm...

It is shown that the order and lower of growth are equal for all non-trivial solutions f(k)+Af=0 if only coefficient A analytic in unit disc log+⁡M(r,A)/log⁡(1−r) tends to a finite limit as r→1−. family concrete examples constructed, where remains same while may vary on certain interval depending irregular coefficient. These coefficients emerge logarithm their modulus approximates smooth radial...

We derive second order estimates for \begin{document}$ \chi $\end{document}-plurisubharmonic solutions of complex Hessian equations with right hand side depending on the gradient compact Hermitian manifolds.

We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass Painlevé test for integrability. find two reductions of this one integrable and non-integrable, whose solutions jointly cover all original equation.