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We give extensions of results on nonnegative matrix semigroups which deduce finiteness or boundedness of such semigroups from the corresponding local properties, e.g., from finiteness or boundedness of values of certain linear functionals…

Functional Analysis · Mathematics 2013-07-01 Roman Drnovšek , Heydar Radjavi

We construct a finitely presented group with undecidable word problem and with Dehn function bounded by a quadratic function on an infinite set of positive integers.

Group Theory · Mathematics 2014-02-26 A. Yu. Olshanskii

This paper studies separating invariants of finite groups acting on affine varieties through automorphisms. Several results, proved by Serre, Dufresne, Kac-Watanabe and Gordeev, and Jeffries and Dufresne exist that relate properties of the…

Commutative Algebra · Mathematics 2017-04-14 Fabian Reimers

In this paper we prove a variation of the theorem in title, for equations with periodic coefficients, in Frechet spaces. The main result gives equivalent conditions ensuring the reduction of such an equation to one with constant…

Classical Analysis and ODEs · Mathematics 2013-05-29 G. Galanis , E. Vassiliou

We obtain uniqueness theorems for harmonic and subharmonic functions of a new type. They lead to new analytic extension criteria and new conditions for stability of operator semigroups in Banach spaces with Fourier type.

Complex Variables · Mathematics 2007-05-23 A. Borichev , R. Chill , Yu. Tomilov

The motivation that the field of differential equations provide to several researchers for the challenges that have been challenging them over the decades has contributed to the strengthening of the area within mathematics. In this sense,…

Classical Analysis and ODEs · Mathematics 2019-01-01 J. Vanterler da C. Sousa , D. F. Gomes , E. Capelas de Oliveira

We study the existence of positive solutions on the half-line $[0,\infty)$ for the nonlinear second order differential equation \[ \bigl(a(t)x^{\prime}\bigr)^{\prime}+b(t)F(x)=0,\quad t\geq0, \] satisfying Dirichlet type conditions, say…

Classical Analysis and ODEs · Mathematics 2025-04-18 Zuzana Došlá , Mauro Marini , Serena Matucci

The objective of this paper is to investigate the existence and the forms of the pair of finite order entire and meromorphic solutions of some certain systems of Fermat-type partial differential-difference equations of several complex…

Complex Variables · Mathematics 2026-04-14 Raju Biswas , Rajib Mandal

We establish several delay-independent criteria for the existence and stability of positive periodic solutions of n-dimensional nonautonomous functional differential equation by several fixed point theorems. Examples from positive and…

Classical Analysis and ODEs · Mathematics 2016-04-28 Meng Fan , Yang Kuang , Haiyan Wang , Shaojiang Yu

The paper explores the differential inclusion of a special form. It is supposed that the support function of the set in the right-hand side of an inclusion may contain the maximum of the finite number of continuously differentiable (in…

Optimization and Control · Mathematics 2023-05-04 Alexander Fominyh

By developing new efficient techniques and using an appropriate fixed point theorem, we derive several new sufficient conditions for the pseudo almost periodic solutions with double measure for some system of differential equations with…

Analysis of PDEs · Mathematics 2020-03-11 Mohsen Miraoui , Dušan D. Repovš

In this paper we consider a boundary value problem for fully fourth order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation…

Numerical Analysis · Mathematics 2022-08-12 Dang Quang A , Nguyen Thanh Huong , Dang Quang Long

This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of…

Dynamical Systems · Mathematics 2008-05-15 M. De la Sen

This paper gives the existence and uniqueness results for solution of fractional differential equations with Hilfer derivative. Using some new techniques and generalizing the restrictive conditions imposed on considered function, the…

Classical Analysis and ODEs · Mathematics 2017-09-29 D. B. Dhaigude , Sandeep P. Bhairat

In this article, we obtain existence and uniqueness results to some problems involving complex nonlinear fractional differential equations (FDEs) in the closed unit disc of C. By help of these results, we prove that some IVPs for some…

Complex Variables · Mathematics 2017-07-18 M. Şan , K. N. Soltanov

This paper deals with the solution of large classes of systems of nonlinear partial differential equations (PDEs) in spaces of generalized functions that are constructed as the completion of uniform convergence spaces. The existence result…

Analysis of PDEs · Mathematics 2009-02-18 Jan Harm van der Walt

In this paper, we investigate a class of stochastic impulsive fractional differential evolution equations with infinite delay in Banach space. Firstly sufficient conditions of the existence and uniqueness of the mild solution for this type…

Dynamical Systems · Mathematics 2015-08-10 Zhao Shufen , Song Minghui

This is the first in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we study theories of supercommutative algebras…

Differential Geometry · Mathematics 2016-10-18 David Carchedi , Dmitry Roytenberg

We examine an infinite, linear system of ordinary differential equations that models the evolution of fragmenting clusters, where each cluster is assumed to be composed of identical units. In contrast to previous investigations into such…

Functional Analysis · Mathematics 2024-06-17 Lyndsay Kerr , Wilson Lamb , Matthias Langer

We give a short proof of the existence of disjoint hypercyclic tuples of operators of any given length on any separable infinite dimensional Frechet space. A similar argument provides disjoint dual hypercyclic tuples of operators of any…

Functional Analysis · Mathematics 2012-09-07 Stanislav Shkarin
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