Complex Oscillation of Higher-Order Linear Differential Equations with Coefficients Being Lacunary Series of Finite Iterated Order [PDF]
The authors introduce the lacunary series of finite iterated order and use them to investigate the growth of solutions of higher-order linear differential equations with entire coefficients of finite iterated order and obtain some results which improve ...
Jin Tu +3 more
doaj +2 more sources
Oscillation of complex high order linear differential equations with coefficients of finite iterated order [PDF]
In this paper, we investigate the growth of solutions of complex high order linear differential equations with entire or meromorphic coefficients of finite iterated order and we obtain some results which improve and extend some previous results of Z.
Jin Tu, Teng Long
doaj +3 more sources
Iterated order of solutions of certain linear differential equations with entire coefficients [PDF]
In this paper, we investigate the iterated order of solutions of homogeneous and nonhomogeneous linear differential equations where the coefficients are entire functions and satisfy certain growth conditions.
Saada Hamouda
doaj +3 more sources
Iterated Dirichlet problem for the higher order Poisson equation [PDF]
Convoluting the harmonic Green function with itself consecutively leads to a polyharmonic Green function suitable to solve an iterated Dirichlet problem for the higher order Poisson equation.
H. Begehr, T. Vaitekhovich
doaj +2 more sources
On the iterated order and the fixed points of entire solutions of some complex linear differential equations [PDF]
In this paper, we investigate the iterated order of entire solutions of homogeneous and non-homogeneous linear differential equations with entire coefficients.
B. Belaidi
doaj +3 more sources
On the Growth of Iterated Entire Functions
We consider iteration of two entire functions of (p , q)-order and study some growth properties of iterated entire functions to generalise some earlier results.
Dibyendu Banerjee, Nilkanta Mondal
doaj +3 more sources
Local higher-order fixpoint iteration [PDF]
Local fixpoint iteration describes a technique that restricts fixpoint iteration in function spaces to needed arguments only. It has been studied well for first-order functions in abstract interpretation and also in model checking. Here we consider the problem for least and greatest fixpoints of arbitrary type order.
Florian Bruse +3 more
openaire +5 more sources
A Note on the Order of Iterated Line Digraphs [PDF]
AbstractGiven a digraph G, we propose a new method to find the recurrence equation for the number of vertices of the k‐iterated line digraph , for , where . We obtain this result by using the minimal polynomial of a quotient digraph of G.
Dalfó Simó, Cristina +1 more
openaire +4 more sources
A Higher-Order Iterative Path Ordering [PDF]
The higher-order recursive path ordering ( HORPO ) defined by Jouannaud and Rubio provides a method to prove termination of higher-order rewriting. We present an iterative version of HORPO by means of an auxiliary term rewriting system, following an approach originally due to Bergstra and Klop.
Cynthia Kop, Femke van Raamsdonk
openaire +3 more sources
Order Independence for Iterated Weak Dominance [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leslie M. Marx, Jeroen M. Swinkels
openaire +6 more sources

