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1,303 Result(s)
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Open AccessMultipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions
In this paper, we consider fractional neutral differential equations with multipoint boundary value conditions involving Hadamard derivatives and integrals. We obtain the existence and uniqueness of the soluti...
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Open AccessSteady states of a diffusive predator-prey model with prey-taxis and fear effect
In this paper, a diffusive predator-prey system with a prey-taxis response subject to Neumann boundary conditions is considered. The stability, the Hopf bifurcation, the existence of nonconstant steady states,...
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Open AccessDynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity
Infected individuals often obtain or lose immunity after recovery in medical studies. To solve the problem, this paper proposes a stochastic SIRS epidemic model with a general incidence rate and partial immuni...
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Open AccessThe quartic Catmull–Rom spline with local adjustability and its shape optimization
Parametric interpolatory curves play a vital part in geometric modeling. Cubic Catmull–Rom spline is a well-known tool for constructing parametric interpolatory curves, but it cannot be modified once its contr...
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Open AccessLaplace inverse and MR approach to existence of a unique solution and the Hyers–Ulam–Wright stability analysis of the nonhomogeneous fractional delay oscillation equation by matrix-valued fuzzy controllers
In this paper, we consider the nonhomogeneous fractional delay oscillation equation with order κ and investigate the existence of a unique solution in matrix-valued fuzzy Banach spaces for this equation using the...
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Open AccessThe high-order smooth interpolated reproducing kernel particle method for elastodynamics problems
Combining the interpolation reproducing kernel particle method (IRKPM) with the integral weak form of elastodynamics, we present a high-order smooth interpolated reproducing kernel particle method for an elast...
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Open AccessReilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms
This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenv...
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Open AccessNecessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations
In this paper, we consider the exterior Dirichlet problem of Hessian equations σ k
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Open AccessOn the existence of nontrivial solutions for quasilinear Schrödinger systems
In this paper, by using a change of variable and the mountain-pass theorem, we show that the following quasilinear Schrödinger systems ...
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Open AccessNovel, linear, decoupled and unconditionally energy stable numerical methods for the coupled Cahn–Hilliard equations
This paper uses a novel numerical approach to approximate the coupled Cahn–Hilliard equations, which are a highly nonlinear system depicting the phase separation of the homopolymer and copolymer mixtures. The ...
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Open AccessA diffusive plankton system with time delay and habitat complexity effects under Neumann boundary condition
In this paper, we establish a delayed semilinear plankton system with habitat complexity effect and Neumann boundary condition. Firstly, by using the eigenvalue method and geometric criterion, the stability of...
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Open AccessSemiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems
We study the following non-cooperative type singularly perturbed systems involving the fractional Laplacian operator: ...
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Open AccessOn a viscous fourth-order parabolic equation with boundary degeneracy
A viscous fourth-order parabolic equation with boundary degeneracy is studied. By using the variational method, the existence of a time-discrete fourth-order elliptic equation with homogeneous boundary conditi...
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Open AccessExtremal properties of the beta-normal distribution
Asymptotic behaviors of the extremes of the beta-normal distribution are derived. The higher-order asymptotic expansions of the probability density and cumulative distribution functions for the maximum are giv...
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Open AccessGeneralized variational inequalities for linguistic interpretations using intuitionistic fuzzy relations and projected dynamical systems
The fuzzy set theory enables us to represent our knowledge under multiple interpretations and axiomatic foundations from linguistic to computational representations. While the intuitionistic fuzzy set, as a ge...
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Open AccessMode-dependent delays for dissipative filtering of stochastic semi-Markovian jump for neural networks
This work is concerned with the issue of dissipative filtering for stochastic semi-Markovian jump via neural networks where the time-varying delay is based upon another semi-Markov process. Dissipative perform...
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Open AccessStabilization of stochastic regime-switching Poisson jump equations by delay feedback control
This paper is concerned with the stabilization of stochastic regime-switching Poisson jump equations (also known as stochastic differential equations with Markovian switching and Poisson jumps, abbreviated as ...
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Open AccessA class of completely monotonic functions involving the polygamma functions
Let Γ ( x ) \(\Gamma (x)\) ...
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Open AccessExistence of groundstates for Choquard type equations with Hardy–Littlewood–Sobolev critical exponent
In this paper, we consider a class of Choquard equations with Hardy–Littlewood–Sobolev lower or upper critical exponent in the whole space ...