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Bifurcation and Stability Analysis of a Discrete Predator–Prey Model with Alternative Prey
In this paper, we investigate the dynamics of a class of discrete predator–prey model with alternative prey. We prove the boundedness of the...
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Approximate Controllability of Nonlocal Fractional Control System
In this paper, we aim to find a mild solution for a delay control system described by nonlinear fractional evolution differential equations in Banach...
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Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups
This article marks the inaugural exploration of certain classes of negative or positive definite functions in several p -adic variables. Associated...
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On the study of three-dimensional compressible Navier–Stokes equations
This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on...
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New Variational Principles of Topological Pressures
We introduce three types of topological pressures and measure-theoretic pressures, present three variational principles between these...
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Enriched Koszul duality
We show that the category of non-counital conilpotent dg-coalgebras and the category of non-unital dg-algebras carry model structures compatible with...
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Well-Posedness of Mild Solutions for Superdiffusion Equations with Spatial Nonlocal Operators
In this paper, we study the well-posedness for a class of semilinear superdiffusion equations with spatial nonlocal operators. We first establish the...
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Global dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition
We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas,...
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Dynamics and Wong-Zakai Approximations of Stochastic Nonlocal PDEs with Long Time Memory
In this paper, a combination of Galerkin’s method and Dafermos’ transformation is first used to prove the existence and uniqueness of solutions for a...
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Admissibility via Induced Delay Equations
We give a new characterization of the existence of an exponential dichotomy for the class of induced delay equations , introduced recently in Barreira...
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Existence and Linear Stability of Symmetric Periodic Orbits in the Generalized Planar Stark–Zeeman Problem
The purpose of this paper is to demonstrate the existence of symmetric periodic solutions for a two-dimensional hydrogen atom subject to external...