Results 21 to 30 of about 948 (103)
Open 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
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Analysis of solutions for the fractional differential equation with Hadamard-type
Open 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
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On Chouikha's isochronicity criterion [PDF]
, 2012 Recently A.R.Chouikha gave a new characterization of isochronicity of center at the origin for the equation $x"+g(x)=0$, where $g$ is a real smooth function defined in some neighborhood of $0 \in \R$. We describe another proof of his characterization and
Strelcyn, Jean-Marie
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The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems
Advanced Nonlinear Studies, 2021 In this paper, we investigate the problem of the existence and multiplicity of periodic solutions to the planar Hamiltonian system x′=-λα(t)f(y)x^{\prime}=-\lambda\alpha(t)f(y), y′=λβ(t)g(x)y^{\prime}=\lambda\beta(t)g(x), where α,β\alpha,\beta ...
López-Gómez Julián +2 more
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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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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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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.
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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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