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A note on the generalized relative lower order of meromorphic functions
Contemporary Analysis and Applied Mathematics, 2016In 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, 2002ABSTRACTThis 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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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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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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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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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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2018 AAPG International Conference and Exhibition, 2018
Monika Shukla +3 more
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Monika Shukla +3 more
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