2) pseudo derivative 伪导数 1. In this paper the pseudo derivative of a function at some point is defined, and this concept can charaterize the smoothing performance of a function. 首先,给出了函数在某点的伪导数定义,它能描述函数的光滑性,然后,讨论了它与函数的导数、Lipschitz指数之间的关系...
Pseudo-partial-derivative information-driven adaptive fault-tolerant tracking control for discrete-time systemsdoi:10.1007/s40747-023-01280-4TRACKING control systemsFAULT-tolerant control systemsDISCRETE-time systemsTRACKING algorithmsSYSTEM dynamicsARTIFICIAL satellite tracking...
We present previously unknown phenomena which emerge in the large-times asymptotic behavior of solutions to initial-boundary-value problems (IBVP) for mixed-derivative PDE of Sobolev type formulated in domains with semi-infinite boundaries. Our discovery is facilitated and elucidated by means of meticul...
closed range of partial derivative(b)microlocalizationLet M be a smooth, compact, orientable, weakly pseudoconvex manifold of dimension 3, embedded in C-N (N >= 2), of codimension one or more, and endowed with the induced CR structure. Assuming that the tangential Cauchy-Riemann operator (...
Moreover E-Jg(1,0) and (E-Jg(1,0))* are canonically isomorphic, thus we define the concept of generalized (partial derivative) over bar -operator of (M, g, del) and we describe a class of generalized holomorphic sections of T(M) circle plus T* (M). Also we relate the Lie bi...
-Hilfer fractional partial derivativeUlam–Hyers stabilityGeneralized Ulam–Hyers–Rassias stabilityUsing Gronwall inequality we will investigate the Ulam-Hyers and generalized Ulam–Hyers–Rassias stabilities for the solution of a fractional order pseudoparabolic partial differential equation....
In the most general cases, after substituting the time derivative with a discrete forward difference expression, two different inductive formulas are derived which lead to time-dependent solutions. The lid-driven cavity application illustrates the ability to handle nonlinear equations that have variable ...
closed range of partial derivative(b)microlocalizationNEUMANN PROBLEMOPERATORLet M2n-1 be a compact, orientable, weakly pseudoconvex manifold of dimension at least five, embedded in C-N (n <= N), of codimension one or more, and endowed with the induced CR structure. We show the tangential ...
The main result is a pointwise a-priori estimate for the (partial derivative) over bar -Neumann problem that holds on an arbitrary weakly pseudoconvex domain D. It is shown that for (0, q)-forms f in the domain of the adjoint (partial derivative) over bar* of (partial derivative) over...
We obtain the existence, uniqueness, and regularity estimates of the following Cauchy problem {partial derivative(t)u(t, x) = psi(t, -i del)u(t, x) + f (t, x), (t, x) is an element of(0, T) x R-d, u(0, x) = 0, x is an element of R-d, (0.1) in (Mucken...