Results 21 to 30 of about 143 (134)
On periodic‐type solutions of systems of linear ordinary differential equations
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 395-406, 2004., 2004 We establish nonimprovable, in a certain sense, sufficient conditions for the existence of a unique periodic‐type solution for systems of linear ordinary differential equations.
I. Kiguradze
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Nonmonotone impulse effects in second‐order periodic boundary value problems
Abstract 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
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Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems
Advanced 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
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Bifurcations of Periodic Solutions to Differential Equations and Multivalent Guiding Functions Method [PDF]
, 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
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Periodic perturbations of Hamiltonian systems
Advances in Nonlinear Analysis, 2016 We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem.
Fonda Alessandro +2 more
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Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers
Advanced Nonlinear Studies, 2021 We investigate the multiplicity of subharmonic solutions for indefinite planar Hamiltonian systems Jz′=∇H(t,z){Jz^{\prime}=\nabla H(t,z)} from a rotation number viewpoint.
Wang Shuang, Qian Dingbian
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Periodic solutions for nonautonomous differential equations and inclusions in tubes
Abstract 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
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Open 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
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Open 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
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A min‐max theorem and its applications to nonconservative systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 17, Page 1101-1110, 2003., 2003 A nonvariational generation of a min‐max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance.
Li Weiguo, Li Hongjie
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