INTRODUCTION Gomphodonts are a clade of derived non-mammalian cynodonts characterized by the possession of transversely expanded postcanine teeth with crown-to-crown occlusion. These molar-like postcanines, characterized as ‘gomphodont’ teeth, are generally considered to be specialized for processing a predominantly herbivorous diet (Hopson 1971). If the contentious Tritylodontidae are omitted ...

As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic α-order fractional resolvent which is defined in terms of MittagLeffler function and the curve integral. Then we give some properties of real analytic α-order fractional resolvent. Finally, based on these properties, we discuss the regu...

This paper deals with the stability problem of discrete-time and discrete-value (discretized/quantized) control systems in a frequency domain. The discretized (stepwise) nonlinear characteristic on a grid pattern is partitioned into two sections: bounded and sectorial areas. First, by considering a sectorial area over a specified threshold, the robust stability condition for nonlinear discrete-...

The article is devoted to the mathematical analysis of a fluid–structure interaction system where fluid compressible and heat conducting structure deformable located on part boundary domain. motion modeled by Navier–Stokes–Fourier displacement described structurally damped plate equation. Our main results are existence strong solutions in an Lp−Lq setting for small time or data. Through change ...

On the stability and error structure of BDF schemes applied to sectorial problems – p. 1/17