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 ......
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......
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......
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......
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......
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......
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 ......
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......
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......
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......
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......
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......
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......
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......
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......