Search Results - "Liang, Zaitao"
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1
Lyapunov stability of the Basener–Ross system
Published in Monatshefte für Mathematik (2024)“…In this paper, we consider the Basener–Ross system with time-dependent coefficients. Based on a stability criterion of damped equations combined with the…”
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2
Periodic Solutions of an Indefinite Singular Planar Differential System
Published in Mediterranean journal of mathematics (01-02-2023)“…We study a planar radially symmetric system with an indefinite singularity. Some efficient conditions guaranteeing the existence of periodic solutions with…”
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3
Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices
Published in Advances in nonlinear analysis (17-02-2023)“…In this article, we consider a four-dimensional singular differential system that can describe the dynamics of configurations bearing a small number of…”
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4
Subharmonic oscillations of a forced pendulum with time-dependent damping
Published in Journal of fixed point theory and applications (01-01-2020)“…We study the existence of subharmonic solutions for a forced pendulum equation with time-dependent damping. The proof is based on the theorem of the least…”
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5
Radial Convex Solutions of a Singular Dirichlet Problem with the Mean Curvature Operator in Minkowski Space
Published in Acta mathematica scientia (01-03-2019)“…In this paper, we study the existence of nontrivial radial convex solutions of a singular Dirichlet problem involving the mean curvature operator in Minkowski…”
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6
Periodic solutions of a class of indefinite singular differential equations
Published in Electronic research archive (01-01-2023)“…In this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are…”
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7
Monotone and oscillation solutions to second-order differential equations with asymptotic conditions modeling ocean flows
Published in Electronic journal of differential equations (21-08-2018)“…In this article, we study the existence of monotone bounded solutions and of oscillatory solutions to a second-order differential equation with asymptotic…”
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8
Multiplicity of positive periodic solutions of Rayleigh equations with singularities
Published in AIMS mathematics (01-01-2021)“…The existence of positive periodic solutions of the Rayleigh equations $ x''+f(x')+g(x) = e(t) $ with singularities is investigated in this paper. Based on the…”
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9
Existence and stability of periodic solutions for a forced pendulum with time-dependent damping
Published in Boundary value problems (05-07-2018)“…In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based…”
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10
Existence of positive periodic solutions for neutral Lienard differential equations with a singularity
Published in Electronic journal of differential equations (21-09-2015)“…By applying Mawhin's continuation theorem, we study the existence of positive periodic solutions for a second-order neutral functional differential equation $$…”
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11
Existence and stability of periodic oscillations of a smooth and discontinuous oscillator
Published in Physica A (01-10-2020)“…In this paper, we study the existence, multiplicity and Lyapunov stability of periodic oscillations of a SD oscillator which exhibits both discontinuous and…”
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12
Exploring the periodic behavior of a singular predator-prey system
Published in Archiv der Mathematik (14-11-2024)Get full text
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13
Radial stability of periodic orbits of damped Keplerian-like systems
Published in Nonlinear analysis: real world applications (01-08-2020)“…In this paper, by using the third order approximation method, the averaging method and the theory of upper and lower solutions, we study the existence and…”
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14
Periodic solutions for a dumbbell satellite equation
Published in Nonlinear dynamics (01-02-2019)“…In this paper, we study the existence of at least two geometrically distinct periodic solutions for a differential equation which models the planar…”
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15
Radially Stable Periodic Solutions for Radially Symmetric Keplerian-Like Systems
Published in Journal of dynamical and control systems (01-04-2017)“…In this paper, we study the existence of radially stable periodic solutions of radially symmetric Keplerian-like systems. The proof is based on the third-order…”
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16
Lyapunov stability of the Einstein–Friedmann dynamical equations of barotropic FRW cosmologies
Published in Nonlinear analysis: real world applications (01-08-2024)“…In this paper, we investigate the Einstein–Friedmann dynamical equations of barotropic Friedmann–Robertson–Walker (FRW) cosmologies, taking into account the…”
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17
On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov (N + 1)-body problem
Published in Journal of Differential Equations (05-02-2023)“…In this paper, we study the stability of symmetric periodic solutions of the generalized elliptic Sitnikov (N+1)-body problem. First, based on the relationship…”
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18
Twist periodic solutions of the electron beam focusing system with unshielded cathode
Published in Mathematical methods in the applied sciences (01-08-2024)“…In this article, we consider the electron beam focusing system guided by an axially symmetric periodic magnetic field with unshielded cathode. Based on the…”
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19
Bounded solutions of a nonlinear second order differential equation with asymptotic conditions modeling ocean flows
Published in Nonlinear analysis: real world applications (01-06-2018)“…We investigate the existence and uniqueness of bounded solutions to a nonlinear second order differential equation with asymptotic conditions. Such asymptotic…”
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20
Twist dynamics of vortex interaction in a time-periodic deformation flow
Published in Annali di matematica pura ed applicata (15-04-2024)Get full text
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