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Open AccessHopf bifurcation in an age-structured predator–prey system with Beddington–DeAngelis functional response and constant harvesting
In this paper, an age-structured predator–prey system with Beddington–DeAngelis (B–D) type functional response, prey refuge and harvesting is investigated, where the predator fertility function f(a) and the matur...
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Article
Open AccessNonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition
We establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral...
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Article
Open AccessBoundary value problems of quaternion-valued differential equations: solvability and Green’s function
This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs). Employing the theory of quaternionic matrice...
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Article
Open AccessPositive periodic solution for prescribed mean curvature generalized Liénard equation with a singularity
The main purpose of this paper is to investigate the existence of a positive periodic solution for a prescribed mean curvature generalized Liénard equation with a singularity (weak and strong singularities of ...
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Article
Open AccessPeriodic solutions for p-Laplacian neutral differential equation with multiple delay and variable coefficients
In this paper, we first discuss some properties of the neutral operator with multiple delays and variable coefficients ...
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Article
Open AccessPositive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type
In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, ...
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Article
Open AccessPeriodic solution for p-Laplacian Rayleigh equation with attractive singularity and time-dependent deviating argument
In this paper, we consider a p-Laplacian singular Rayleigh equation with time-dependent deviating argument ...
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Article
Open AccessPositive periodic solution for higher-order p-Laplacian neutral singular Rayleigh equation with variable coefficient
In this paper, we consider the existence of a positive periodic solution for the following kind of high-order p-Laplacian neutral singular Rayleigh equation with variable coefficient:
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Article
Open AccessStudy on a kind of ϕ-Laplacian Liénard equation with attractive and repulsive singularities
In this paper, by application of the Manasevich-Mawhin continuation theorem, we investigate the existence of a positive periodic solution for a kind of ϕ-Laplacian singular Liénard equation with attractive and re...
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Article
Open AccessStudy on a kind of neutral Rayleigh equation with singularity
In this paper, we consider a kind of neutral Rayleigh equation with singularity, ...
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Article
Open AccessNew results for Brillouin electron beam focusing system
An experimental conjecture on the existence of positive periodic solutions for the Brillouin electron beam focusing system ...
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Article
Open AccessStudy on a kind of fourth-order p-Laplacian Rayleigh equation with linear autonomous difference operator
In this paper, we consider the following fourth-order Rayleigh type p-Laplacian generalized neutral differential equation with linear autonomous difference operator:
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Article
Open AccessPositive periodic solution for ϕ-Laplacian Rayleigh equation with strong singularity
In this paper, we discuss a kind of ϕ-Laplacian Rayleigh equation with strong singularity
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Article
Open AccessPositive periodic solution for high-order p-Laplacian neutral differential equation with singularity
In this paper, we consider the following high-order p-Laplacian neutral differential equation with singularity: ...
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Article
Open AccessPositive periodic solution of p-Laplacian Liénard type differential equation with singularity and deviating argument
In this paper, we consider the following p-Laplacian Liénard type differential equation with singularity and deviating argument: ...
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Article
Open AccessSome results for fourth-order nonlinear differential equation with singularity
By application of Green’s function and some fixed point theorems, i.e., Leray-Schauder alternative principle and Schauder’s fixed point theorem, we establish two new existence results of positive periodic solutio...
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Article
Open AccessExistence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation
By applying the Manásevich-Mawhin continuation theorem, we establish some sufficient conditions for the existence and uniqueness of positive periodic solutions for the Liénard type ϕ-Laplacian operator equation.
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Article
Open AccessNeutral operator with variable parameter and third-order neutral differential equation
In this article, we discuss the properties of the neutral operator with variable parameter ...
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Article
Open AccessExistence and uniqueness of a positive periodic solution for Rayleigh type ϕ-Laplacian equation
By using the Manásevich-Mawhin continuation theorem and some analysis skills, we establish some sufficient condition for the existence and uniqueness of positive T-periodic solutions for a generalized Rayleigh ty...
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Article
Open AccessExistence of positive periodic solutions for third-order differential equation with strong singularity
Sufficient conditions are presented for the existence of positive periodic solutions for a third-order nonlinear differential equation with singularity. Besides, an example is given to illustrate the results.