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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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Weakly Recurrent Operators
In this paper, we introduce and study the notion of weak recurrence on a Banach space X . In one hand, we prove some properties of this class of...
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un L- and M-weakly compact operators on Banach lattices
Several recent papers investigated unbounded convergences in Banach lattices. In this paper, we first introduce un L- and M-weakly compact operators...
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Boubaker operational matrix method for solving fractional weakly singular two-dimensional partial Volterra integral equation
The aim of the present paper is to suggest a novel technique based on the operational matrix approach for solving a fractional weakly singular...
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Weakly Compressible Two-Layer Shallow-Water Flows Along Channels
In this paper, we formulate a model for weakly compressible two-layer shallow water flows with friction in general channels. The formulated model is...
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Optimal Control of Non-linear Volterra Integral Equations with Weakly Singular Kernels Based on Genocchi Polynomials and Collocation Method
We consider a problem of finding the best way to control a system, known as an optimal control problem (OCP), governed by non-linear Volterra...
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Generalized Subharmonic and Weakly Convex Functions
This paper is devoted to a conjecture formulated by Francesco Altomare and Ioan Raşa in 1999. It is concerned with the relationship between some...
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Stabilization and blow-up for a class of weakly damped Kirchhoff plate equation with logarithmic nonlinearity
In this paper, we consider the initial value problem for weakly damped Kirchhoff plate equation with logarithmic nonlinearity in a bounded domain. We...
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Combining discrete and continuous information for multi-criteria optimization problems
In multi-criteria optimization problems that originate from real-world decision making tasks, we often find the following structure: There is an...
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A smoothing Newton method based on the modulus equation for a class of weakly nonlinear complementarity problems
By equivalently transforming a class of weakly nonlinear complementarity problems into a modulus equation, and introducing a smoothing approximation...
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Review of Research on the Qualitative Theory of Differential Equations at St. Petersburg University. I. Stable Periodic Points of Diffeomorphisms with Homoclinic Points and Systems with Weakly Hyperbolic Invariant Sets
AbstarctThis paper is the first in a series of review publications devoted to the results of scientific research that has been carried out in the...
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Convergence in Law of Iterates of Weakly Contractive in Mean Random-Valued Functions
We investigate the asymptotic behaviour of the sequence of forward type iterations of a given random-valued vector function on the state space being...
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Weakly coupled oscillator networks
The complexity and functionality of the human brain comes from the joint action of populations of cells acting in concert. The preceding chapters...
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Chebyshev Sets with Piecewise Continuous Metric Projection
AbstractWe study the properties of Chebyshev sets composed of at most countably many sets with a continuous metric projection. Local solarity is...
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Moderate deviations for fully coupled multiscale weakly interacting particle systems
We consider a collection of fully coupled weakly interacting diffusion processes moving in a two-scale environment. We study the moderate deviations...
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INVESTIGATION OF DEMI-ab CONTINUOUS OPERATORS
In this paper, we define the class of demi ab -continuous operators on Banach lattices where a and b are given as n , w , o , ru , uo , un , and uaw . The...
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A high-order compact ADI finite difference scheme on uniform meshes for a weakly singular integro-differential equation in three space dimensions
We propose a new compact alternating direction implicit (ADI) finite difference scheme on uniform meshes for a weakly singular integro-differential...