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High Speed Flight and Partial Differential Equations
Aircraft comes out at the beginning of the last century. Accompanied by the progress of high speed flight the theory of partial differential...
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Partial separability and symplectic-Haantjes manifolds
A theory of partial separability for classical Hamiltonian systems is proposed in the context of Haantjes geometry. As a general result, we show that...
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Differential History-Dependent Variational-Hemivariational Inequality with Application to a Dynamic Contact Problem
This paper is dedicated to the discussion of a new dynamical system involving a history-dependent variational-hemivariational inequality coupled with...
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Partial Information Games and Competitive Advertising
We study a competitive advertisement process over a social network. Potential customers are hidden in the network, and multiple content providers...
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Virtual Element Method for a History-Dependent Variational-Hemivariational Inequality in Contact Problems
In this paper, numerical analysis is carried out for a class of history-dependent variational-hemivariational inequalities arising in contact...
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Domain Decomposition Algorithms for Neural Network Approximation of Partial Differential Equations
With the success of deep learning technology in many application areas, there have been pioneering approaches to approximate solutions of partial...
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A class of Hilfer fractional differential evolution hemivariational inequalities with history-dependent operators
The main purpose of this paper is to study an abstract system which consists of a parabolic hemivariational inequality with a Hilfer fractional...
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An algorithmic exploration of variable order fractional partial integro-differential equations via hexic shifted Chebyshev polynomials
The focus of this investigation centers on the formulation of a novel spectral method deployed to numerically solve partial integro-differential...
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On Dominating Graph of Graphs, Median Graphs, Partial Cubes and Complement of Minimal Dominating Sets
The dominating graph of a graph G is a graph whose vertices correspond to the dominating sets of G and two vertices are adjacent whenever their...
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Admissible Integral Manifolds for Partial Neutral Functional-Differential Equations
We prove the existence and attraction property for admissible invariant unstable and center-unstable manifolds of admissible classes of solutions to...
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Some Problems in the History of Modern Mathematics
In this essay I propose five problems for historians of mathematics that call for new or improved historical treatments of modern mathematics. Many...
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Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process
In this paper, we study the approximate optimal control problems for a class of fractional partial stochastic differential inclusions driven by...
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Memory effects in disease modelling through kernel estimates with oscillatory time history
We design a linear chain trick algorithm for dynamical systems for which we have oscillatory time histories in the distributed time delay. We make...
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Eberlein-Weakly Almost Periodic Solutions for Some Partial Functional Differential Equation with Infinite Delay
In this work, we prove some new results concerning the class of Eberlein weakly almost periodic functions in Stepanov’s sense. We prove that if the...
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Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations
In this article we consider a certain class of time fractional nonlinear partial differential equations as well as partial differential-difference...
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Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations
The aim of this paper is to propose a new method to construct pullback exponential attractors with explicit fractal dimensions for non-autonomous...
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Decay estimate in a viscoelastic plate equation with past history, nonlinear dam**, and logarithmic nonlinearity
In this article, we consider a viscoelastic plate equation with past history, nonlinear dam**, and logarithmic nonlinearity. We prove explicit and...
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Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits
Nature exhibits rapid evolution in response to human activities. When using natural resources for their own profit, humans should account for such...
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Modelling physiologically structured populations: renewal equations and partial differential equations
We analyse the long term behaviour of the measure-valued solutions of a class of linear renewal equations modelling physiologically structured...
