Results 21 to 30 of about 147 (138)

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

Nonlinear systems with a partial Nash type equilibrium

open access: yes, 2021
In this paper fixed point arguments and a critical point technique are combined leading to hybrid existence results for a system of three operator equations where only two of the equations have a variational structure.
STAN, Andrei
core   +1 more source

Nonmonotone impulse effects in second‐order periodic boundary value problems

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 7, Page 577-590, 2004., 2004
We deal with the nonlinear impulsive periodic boundary value problem u″ = f(t, u, u′), u(ti+) = Ji(u(ti)), u′(ti+) = Mi(u′(ti)), i = 1, 2, …, m, u(0) = u(T), u′(0) = u′(T). We establish the existence results which rely on the presence of a well‐ordered pair (σ1, σ2) of lower/upper functions (σ1 ≤ σ2 on [0, T]) associated with the problem.
Irena Rachůnková, Milan Tvrdý
wiley   +1 more source

Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

open access: yesOpen Mathematics, 2020
This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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

On the existence of a periodic solution of the Liénard system

open access: yes, 2021
The Li\\u27{e}nard system $\frac{dx}{dt}=y,\quad \frac{dy}{dt}=-f(x)y-g(x)$ is considered. Under some assumptions on functions $f(x)$ and $g(x)$, we estimate the domain of location of the unique stable limit cycle of the Li\\u27{e}nard system.This ...
IGNATYEV, Alexander
core   +1 more source

Periodic solutions for nonautonomous differential equations and inclusions in tubes

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 12, Page 1057-1079, 2004., 2004
We study the existence of periodic trajectories for nonautonomous differential equations and inclusions remaining in a prescribed compact subset of an extended phase space. These sets of constraints are nonconvex right‐continuous tubes not satisfying the viability tangential condition on the whole boundary.
Grzegorz Gabor
wiley   +1 more source

Bifurcations of Periodic Solutions to Differential Equations and Multivalent Guiding Functions Method [PDF]

open access: yes, 2016
In this paper, we define a new class of multivalent guiding functions called local multivalent guiding functions and use it to study the global bifurcation problem of periodic soluions to a parameterized differential equation.
Kornev, Sergei   +3 more
core   +1 more source

Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system

open access: yesOpen Mathematics, 2019
In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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

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