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Structure of the Solution Set to Fractional Differential Inclusions with Impulses at Variable Times on Compact Interval

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (3)

A topological structure of the solution set to a class of fractional differential inclusions with (or impulses at variable times) is investigated. It ......

Quaternion-Valued Linear Impulsive Differential Equations

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper, we transfer the approach of finding the explicit solutions to linear impulsive differential equations (LIDEs) to quaternion-valued case......

Traveling Wave Solutions of Generalized Dullin-Gottwald-Holm Equation with Parabolic Law Nonlinearity

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (3)

With bifurcation method of dynamical system, we investigate the travelling wave solutions of the generalized Dullin-Gottwald-Holm equation (G-DGH) wit......

Ground State Sign-Changing Solution for Schrodinger-Poisson System with Critical Growth

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

This article is devoted to study the nonlinear Schrodinger-Poisson system with pure power nonlinearities {-Delta u + u + phi u = vertical bar u vertic......

Existence and Concentration of Semi-classical Ground State Solutions for Chern-Simons-Schrodinger System

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper, we consider the equation -epsilon(2)Delta u + V(x)u + (A(0)(u) + A(1)(2)(u) + A(2)(2)(u))u = f(u) in H-1(R-2), where epsilon is a small......

Dynamics of Traveling Waves for the Perturbed Generalized KdV Equation

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

This paper is devoted to the existence of traveling, solitary and periodic waves for the perturbed generalized KdV by applying geometric singular pert......

Existence of Periodic Solutions in the Systems of the Billiard Type

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (3)

In this paper, a billiard type of system is studied. The system describes the motion of a particle in a bounded domain under dissipation and periodic ......

Invariant Algebraic Curves and Hyperelliptic Limit Cycles of Lienard Systems

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper we deal with the Lienard system (x) over dot = y, (y) over dot = - f(m)(x) y - g(n)(x), where f(m)(x) and g(n)(x) are real polynomials o......

On the Second Lyapunov Method for Quaternionic Differential Equations

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper we mainly study the stability of quaternion-valued differential equations. We first establish the second Lyapunov method over quaternion......

Perturbed Second-Order Stochastic Evolution Equations

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper, we discuss a class of perturbed second-order stochastic evolution equations. A perturbed second-order stochastic evolution equation for......

Several Bifurcation Mechanisms for Limit Cycles in a Predator-Prey System

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (3)

The research presented in this paper compares the occurrence of limit cycles under different bifurcation mechanisms in a simple system of two-dimensio......

Limit Cycles in the Discontinuous Planar Piecewise Linear Systems with Three Zones

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (3)

In this paper, we investigate the existence of limit cycles for the discontinuous planar piecewise linear systems with three zones separated by two pa......

Dynamic Properties of the p-Laplacian Reaction-Diffusion Equation in Multi-dimensional Space

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper we study the p-Laplacian reaction-diffusion equation u(t) - div(vertical bar del u vertical bar(p-2)del u) = k(t) f(u) subject to approp......

Infinitely Many Solutions for Second-Order Impulsive Differential Inclusions with Relativistic Operator

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

In this paper, the boundary value problem of second-order impulsive differential inclusion involving relativistic operator is studied. Infinitely many......

Topological Average Shadowing Property on Uniform Spaces

期刊: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021; 20 (2)

We introduce topological definition of average shadowing property. We prove that topological average shadowing property implies topological chain tran......

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