Results 1 to 10 of about 933 (103)

Center conditions for a simple class of quintic systems [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 625-632, 2002., 2001
We obtain center conditions for a $O$-symmetric system of degree 5 for which the origin is a uniformly isochronous singular point. In the revised paper some misprints are corrected in the reference list.Comment: 9 pages, 0 figures, LaTeX 2 ...
Evgenii P. Volokitin   +1 more
core   +7 more sources

Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we consider a four-dimensional singular differential system that can describe the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein condensates.
Liang Zaitao, Li Shengjun, Li Xin
doaj   +1 more source

Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments

open access: yesOpen Mathematics, 2023
This article deals with the existence, multiplicity, minimal complexity, and global structure of the subharmonic solutions to a class of planar Hamiltonian systems with periodic coefficients, being the classical predator-prey model of V.
López-Gómez Julián   +2 more
doaj   +1 more source

Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems

open access: yesAdvanced Nonlinear Studies, 2021
The aim of this paper is to extend the theory of lower and upper solutions to the periodic problem associated with planar systems of differential equations.
Fonda Alessandro   +2 more
doaj   +1 more source

Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers

open access: yesAdvanced Nonlinear Studies, 2021
We investigate the multiplicity of subharmonic solutions for indefinite planar Hamiltonian systems J⁢z′=∇⁡H⁢(t,z){Jz^{\prime}=\nabla H(t,z)} from a rotation number viewpoint.
Wang Shuang, Qian Dingbian
doaj   +1 more source

The monotonicity of the apsidal angle using the theory of potential oscillators [PDF]

open access: yes, 2017
In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle.
Rojas, David
core   +2 more sources

Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response

open access: yesNonautonomous Dynamical Systems, 2022
A non-autonomous discrete commensal symbiosis model with Hassell-Varley type functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution of the system.
Chen Shangming, Chong Yanbo, Chen Fengde
doaj   +1 more source

Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2020
In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p(t)-Laplacian with a locally Lipschitz nonlinearity.
Chen Peng, Tang Xianhua
doaj   +1 more source

Uniqueness of positive solutions for boundary value problems associated with indefinite ϕ-Laplacian-type equations

open access: yesOpen Mathematics, 2021
This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto   +2 more
doaj   +1 more source

Analysis of solutions for the fractional differential equation with Hadamard-type

open access: yesOpen Mathematics, 2023
We mainly consider the existence and stability results of the positive solutions for the fractional differential equation with Hadamard-type by applying fixed point theorems, if the nonlinearity may be continuous or singular.
Zhu Huijuan, Ru Yuanfang, Wang Fanglei
doaj   +1 more source

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