1,651 Result(s)
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Open AccessGlobal 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, techniques, and the theory of the principal spectral and monotone ...
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On the characterization of harmonic functions with initial data in Morrey space
Let (X, d, μ) be a metric measure space satisfying the doubling condition and an L2-Poincaré inequality. Consider the nonnegative operator $$\...
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Refinements of the norm of two orthogonal projections
In this paper, some refinements of norm equalities and inequalities of combination of two orthogonal projections are established. We use certain norm inequalities for positive contraction operator to establish...
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Weak-strong uniqueness for three dimensional incompressible active liquid crystals
The hydrodynamics of active liquid crystal models has attracted much attention in recent years due to many applications of these models. In this paper, we study the weak-strong uniqueness for the Leray-Hopf ty...
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Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice $$\...
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Open AccessAn expanded analysis of local fractional integral inequalities via generalized \((s,P)\) -convexity
This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized
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Open AccessOn the optimal controllability for a class of Katugampola fractional systems
This study is centered on the optimal controllability of differential equations involving fractional derivatives of Katugampola. We derive both necessary and sufficient conditions for optimal controllability b...
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Open AccessUpper bounds for the spectral radius of matrices having the Perron–Frobenius property
A new upper bound for the spectral radius of matrices having the Perron–Frobenius property is given by considering the position of positive entries. Some examples involving the largest zero of polynomials and ...
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Limiting Weak-Type Behavior of the Centered Hardy–Littlewood Maximal Function of General Measures on the Positive Real Line
Given a positive Borel measure \(\mu \) μ on the one-dimensional Euclidean ...
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Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow
In this paper, we establish some regularity conditions on the density and velocity fields to guarantee the energy conservation of the weak solutions for the three-dimensional compressible nematic liquid crysta...
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Open AccessContinuity of the solutions sets for parametric set optimization problems
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018. Sufficient condit...
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Cells in affine q-Schur algebras
We develop algebraic and geometrical approaches toward canonical bases for affine q-Schur algebras of arbitrary type introduced in this paper. A duality between an affine q-Schur algebra and a corresponding affin...
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Open Accessη-Stability for stochastic functional differential equation driven by time-changed Brownian motion
This manuscript focuses on a class of stochastic functional differential equations driven by time-changed Brownian motion. By utilizing the Lyapunov method, we capture some sufficient conditions to ensure that...
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Open AccessDynamical behaviors of a stochastic SIRV epidemic model with the Ornstein–Uhlenbeck process
Vaccination is an important tool in disease control to suppress disease, and vaccine-influenced diseases no longer conform to the general pattern of transmission. In this paper, by assuming that the infection ...
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Run-length function of the Bolyai-Rényi expansion of real numbers
By iterating the Bolyai-Rényi transformation T(x) = (x + 1)2 (mod 1), almost every real number x ∈ [0, 1) can be expanded as a continued radical expression
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Hall algebras of two equivalent extriangulated categories
For any positive integer n, let An be a linearly oriented quiver of type A with n vertices. It is well-known that the quotient of an exact category by projective-injectives is an extriangulated category. We show ...
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Global classical solutions in a self-consistent chemotaxis(-Navier)-Stokes system
The self-consistent chemotaxis-fluid system $$\left\{ {\matrix{{{n_t} + u \cdot \nabla n = \Delta n - \nabla \cdot (n\nabla c) + \nabla \cdot ...
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Bifurcation from infinity and multiplicity of solutions for an elliptic system
In this paper, we are concerned with the bifurcation from infinity and multiplicity of solutions of the semilinear elliptic system $$\begin{al...
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Open AccessWeak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles
In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-...
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Open AccessExistence and multiplicity of solutions for fractional \(p_{1}(x,\cdot )\& p_{2}(x,\cdot )\) -Laplacian Schrödinger-type equations with Robin boundary conditions
In this paper, we study fractional p 1 ( ...
