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Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case
We establish conditions for the existence of solutions of weakly perturbed impulsive boundary-value problems for systems of integrodifferential...
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Weakly Corson compact trees
We introduce and study a new topology on trees, that we call the countably coarse wedge topology. Such a topology is strictly finer than the coarse...
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Entropy of a Pairwise Continuous Map in NWPC Bitopological Dynamical Systems
Topological entropy is a measure of complexity in topological dynamical systems. Recently, Acharjee et al. [S. Acharjee, K. Goswami and H.K. Sarmah,...
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Korovkin-Type Theorems for Weakly Nonlinear and Monotone Operators
In this paper we prove analogs of Korovkin’s theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions...
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On Algebraic Properties of the Family of Weakly Świa̧tkowski Functions
In the paper we will focus on weakly Światkowski functions. We say that f satisfies the weak Świa̧tkowski condition (or f is a weakly Świa̧tkowski...
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Weakly tame systems, their characterizations and applications
We explore the notion of discrete spectrum and its various characterizations for ergodic measure-preserving actions of an amenable group on a compact...
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Flatness, weakly lex colimits, and free exact completions
We capture in the context of lex colimits , introduced by Garner and Lack, the universal property of the free regular and Barr-exact completions of a...
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Some characterizations of L-weakly compact sets using the unbounded absolute weak convergence and applications
Based on the concept of unbounded absolute weak convergence, we give new characterizations of L-weakly compact sets. As applications, we find new...
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On the class of order L-weakly and order M-weakly compact operators
In this paper, we introduce and study new concepts of order L-weakly and order M-weakly compact operators. As consequences, we obtain some...
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Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions
This paper is dedicated to investigating the chaos of a initial-boundary value (IBV) problem of a multi-dimensional weakly hyperbolic equation...
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Some weakly singular Volterra integral inequalities with maxima in two variables
In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two...
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A new scheme for approximating the weakly efficient solution set of vector rational optimization problems
In this paper, we provide a new scheme for approximating the weakly efficient solution set for a class of vector optimization problems with rational...
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Weakly monotone finite volume scheme for parabolic equations in strongly anisotropic media
In this work, we propose an original idea consisting of preserving the weak monotonicity of the CVFE scheme, or generally for schemes written under...
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Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions
We construct an importance sampling method for computing statistics related to rare events for weakly interacting diffusions. Standard Monte Carlo...
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Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits
In this work, we study the dynamics of an infinite array of nonlinear dimer oscillators which are linearly coupled as in the classical model of Su,...
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Continuous Order-Preserving Functions for All Kind of Preorders
A topology is said to be strongly useful if every weakly continuous preorder admits a continuous order-preserving function. A strongly useful...
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Boundary points, minimal L2 integrals and concavity property II: Weakly pseudoconvex Kähler manifolds
In this paper, we consider minimal L 2 integrals on the sublevel sets of plurisubharmonic functions on weakly pseudoconvex Kähler manifolds with...
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On the class of semi-weakly compact operators
Our objective in this paper is to continue the investigation of the duality problem for the class of AWC operators. First, we introduce a new class...
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Sun Dual Theory For Bi-Continuous Semigroups
The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only...
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Weakly Coercive Nonlinear Diffusion Equations
In this chapter, we address the existence of solutions to nonlinear diffusion equations of type...