Results 21 to 30 of about 1,108 (132)
Localization of periodic orbits of autonomous systems based on high‐order extremum conditions
Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 277-290, 2004., 2004 This paper gives localization and nonexistence conditions of periodic orbits in some subsets of the state space. Mainly, our approach is based on high‐order extremum conditions, on high‐order tangency conditions of a nonsingular solution of a polynomial system with an algebraic surface, and on some ideas related to algebraically‐dependent polynomials ...
Konstantin E. Starkov
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Nash-type equilibria and periodic solutions to nonvariational systems
Advances in Nonlinear Analysis, 2014 The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
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Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004 The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
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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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On the uniqueness of invariant tori in D4*S1 symmetric systems [PDF]
, 1994 The uniqueness of the branch of two-tori in the D4-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body ...
Gils, S.A. van, Silber, M.
core +2 more sources
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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Periodic solution for ϕ-Laplacian neutral differential equation
Open Mathematics, 2019 This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$
Yao Shaowen, Cheng Zhibo
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Stability Analysis of Periodic Solutions of Some Duffing’s Equations
Open Journal of Applied Sciences, 2019 In this paper, some stability results were reviewed. A suitable and complete Lyapunov function for the hard spring model was constructed using the Cartwright method.
E. Eze, U. E. Obasi, E. U. Agwu
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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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Periodic solutions for a class of Duffing differential equations
Moroccan Journal of Pure and Applied Analysis, 2019 We provide sufficient conditions for the existence of periodic solutions for the class of Duffing differential ...
Feddaoui Amina +2 more
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