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A note on the generalized relative lower order of meromorphic functions

Contemporary Analysis and Applied Mathematics, 2016
In the present paper, the basic properties of the generalized relative lower order of meromorphic functions are discussed. In fact, this paper is devoted to improvement of some results of Datta, Biswas and Bhattacharyya [S. K. Datta, T. Biswas, S. Bhattacharyya, A note on relative lower order of meromorphic functions, Investigations in Mathematical ...
Sanjib Kumar Datta   +2 more
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Higher Relative Degree Nonlinear Systems With ilc Using Lower‐order Differentiations

Asian Journal of Control, 2002
ABSTRACTThis paper addresses the problem of iterative learning control (ILC) for a class of nonlinear continuous‐time systems with higher relative degree. The proposed ILC solution is a family of updating laws using differentiations of tracking error with the order less than the system relative degree. A unified convergence condition for this family of
Mingxuan Sun, Danwei Wang
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Some growth properties of composite p-adic entire functions on the basis of their relative order and relative lower order

Asian-European Journal of Mathematics, 2019
Let [Formula: see text] be a complete ultrametric algebraically closed field and [Formula: see text] be the [Formula: see text]-algebra of entire functions on [Formula: see text]. For [Formula: see text], [Formula: see text], we wish to introduce the notions of relative order and relative lower order of [Formula: see text] with respect to [Formula ...
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Relative stabilization of solutions of a degenerating parabolic equation with nonlinear lower-order terms

Differential Equations, 2004
The paper studies the Cauchy problem for a nonlinear degenerate parabolic equation. The equation with state \(u(x, t)\), \(x\in \mathbb R\), \(t> 0\) is described by \[ u_t= (u^\alpha)_{xx}+ a|u_x|^\lambda+ cv(x,t),\quad u(x,0)= f(x), \] where both \(u\) and \(f\) are nonnegative, and the parameters are such that \(ac\neq 0 ...
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