1,303 Result(s)
-
Article
Open AccessExplicit solutions of conjugate, periodic, time-varying Sylvester equations
Solutions of a group of conjugate time-varying matrix equations are discussed in this paper. Through mathematical derivation, the solutions to this group of equations are equivalent to the solutions to a class...
-
Article
Open AccessRemarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function
Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness of solutions to a b...
-
Article
Open AccessBifurcation mechanism and hybrid control strategy of a finance model with delays
Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present. From a mathematical point of view, the exploration on dynamics...
-
Article
Open AccessGlobal regularity of 2D MHD equations with almost Laplacian velocity dissipation
We obtain the global existence and global regularity for the 2D MHD equations with almost Laplacian velocity dissipation, which require the dissipative operators weaker than any power of the fractional Laplaci...
-
Article
Open AccessRegularized linear discriminant analysis via a new difference-of-convex algorithm with extrapolation
In this paper, we transform the classical linear discriminant analysis (LDA) into a smooth difference-of-convex optimization problem. Then, a new difference-of-convex algorithm with extrapolation is introduced...
-
Article
Open AccessMultiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems
In this paper, by applying a nonlinear alternative principle of Leray–Schauder and Guo–Krasnosel’skii fixed point theorem on compression and expansion of cones, together with truncation technique, we study the...
-
Article
Open AccessInfinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity
In this article, we study the quasilinear Schrödinger equation − △ (
-
Article
Open AccessMultiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator
We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter,...
-
Article
Open AccessUniform stability of a strong time-delayed viscoelastic system with Balakrishnan–Taylor dam**
This paper studies a Balakrishnan–Taylor viscoelastic wave equation with strong time-dependent delay. Under suitable assumptions on the coefficients of the delay term, we establish a generalized stability resu...
-
Article
Open AccessA discrete Gronwall–Halanay-type inequality with infinite delay and its applications to difference equations
We establish a discrete Gronwall–Halanay-type inequality with infinite delay, which is not covered in the existing literature. As an application, a new criterion is obtained for the asymptotic stability of the...
-
Article
Open AccessThe stability of minimal solution sets for set optimization problems via improvement sets
In this paper we investigate the stability of solution sets for set optimization problems via improvement sets. Some sufficient conditions for the upper semicontinuity, lower semicontinuity, and compactness of E-...
-
Article
Open AccessIntegrable aspects, analytic solutions and their asymptotic analysis for a discrete relativistic Toda lattice system
In this paper, we investigate a discrete relativistic Toda lattice ( dRTL + ...
-
Article
Open AccessInequalities for integral operators in Hölder–Morrey spaces on differential forms
The Hölder–Morrey spaces Λ κ p ...
-
Article
Open AccessGlobal classical solutions to the viscous two-phase flow model with slip boundary conditions in 3D exterior domains
We consider the two-phase flow model in 3D exterior domains with slip boundary conditions. We establish the global existence of classical solutions of this system, provided that the initial energy is suitably ...
-
Article
Open AccessHermite–Hadamard and Fejér-type inequalities for strongly reciprocally (p, h)-convex functions of higher order
In this paper, we investigate the properties of a newly introduced class of functions, strongly reciprocally (p, h)-convex functions of higher order. We establish Hermite–Hadamard-type and Fejér-type inequalities...
-
Article
Open AccessExistence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow of the Antarctic Circumpolar Current. The main tools of the p...
-
Article
Open AccessUniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, ...
-
Article
Open AccessNondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator
We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18(3):253–268, 2003) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic equation involving the po...
-
Article
Open AccessSpecial functions and multi-stability of the Jensen type random operator equation in \(C^{*}\) -algebras via fixed point
In this paper, we apply some special functions to introduce a new class of control functions that help us define the concept of multi-stability. Further, we investigate the multi-stability of homomorphisms in ...
-
Article
Open Accesspth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control
In this paper, we investigate the problem of pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control via comparison principle. Employing stochastic anal...
