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The Study of Global Stability of a Periodic Beddington–DeAngelis and Tanner Predator-Prey Model
Of concern is the global dynamics of a Beddington–DeAngelis and Tanner type predator-prey model with periodic coefficients. By establishing...
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Periodic Problem for Two-Term Fractional Differential Equations
We discuss the existence, multiplicity and uniqueness of solutions to the periodic problem c D α u + q ( t , u ) c D β u = f ( t , {vnu}), {vnu}(0) = u ({vnT}),...
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Some notes on a superlinear second order Hamiltonian system
Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical...
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Periodic Problem for the Generalized Basset Fractional Differential Equation
We discuss the existence and uniqueness of solutions to the periodic fractional problem u ′ = A c D α u + f ( t, u ), u (0) = u ( T ). Here, α ∈ (0, 1), A ∈ ℝ, f ...
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Persistence of periodic orbits in periodically forced impact systems
This paper is devoted to the study of persistence of forced periodic solutions for impact systems from single periodic solutions of unperturbed...
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A new periodicity concept for time scales
By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate...
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Existence of periodic solutions for sublinear second order dynamical system with (q, p)-Laplacian
In this paper, some existence theorems are obtained for periodic solutions of second order dynamical system with ( q , p )-Laplaician by using the least...
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Some Remarks on the Spectral Problem Underlying the Camassa–Holm Hierarchy
We study particular cases of left-definite eigenvalue problems...
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Analysis and sha** of the self-sustained oscillations in relay controlled fractional-order systems
This work deals with Single-Input-Single-Output (SISO) fractional order systems with a discontinuous relay control element in the feedback loop....
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Comparison results for functional differential equations with impulses
Comparison principles play an important role in the qualitative and quantitative study of differential equations. In this paper, we investigate a...
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Diversities of periodic solutions for a class of ecological model
We consider a nonautonomous predator-prey model with nonmonotonic functional response in the periodic environment. Some new sufficient conditions are...
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Equivariant nonlinear spectrum
The notions of nonlinear asymptotic spectrum and of nonlinear spectrum at a point are extended to the equivariant context.
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Periodic solutions in general scalar non-autonomous models with delays
Theorems for the existence of periodic solutions for diverse models of population dynamics are obtained as corollaries of a few basic theorems, thus...
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On the velocity of planar trajectories
Consider two trajectories each forming a Jordan curve with a finite length in the two dimensional plane. We show that the integral of the velocity of...
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Bloch Solutions of Periodic Dirac Equations in SPPS Form
We provide the representation of quasi-periodic solutions of periodic Dirac equations in terms of the spectral parameter power series (SPPS) recently...
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Exact Multiplicity and Stability of Periodic Solutions for a Duffing Equation
The purpose of this paper is to give new criteria for the exact multiplicity and stability of 2π-periodic solutions for Duffing equation x ′′ + cx ′ + g (...