Results 41 to 50 of about 110 (109)

On the uniqueness of limit cycles for generalized Liénard systems

Open Mathematics, 2023
In this article, the general Liénard system dxdt=ϕ(y)−F(x),dydt=−g(x)\left\{\begin{array}{l}\frac{{\rm{d}}x}{{\rm{d}}t}=\phi (y)-F\left(x),\\ \frac{{\rm{d}}y}{{\rm{d}}t}=-g\left(x)\end{array}\right. is studied.
Zhou Hui, Yuan Yueding
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Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity

Boundary Value Problems, 2011
Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.
Zhang Jihui, Wang Zhiyong
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Periodic solutions for second order differential equations with indefinite singularities

Advances in Nonlinear Analysis, 2019
In this paper, the problem of periodic solutions is studied for second order differential equations with indefinite ...
Lu Shiping, Yu Xingchen
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Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth

Advances in Nonlinear Analysis, 2017
We prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained as perturbations of N planar uncoupled systems which, e.g., model some type of asymmetric oscillators.
Fonda Alessandro, Toader Rodica
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Limit cycles of Liénard polynomial systems type by averaging method

Moroccan Journal of Pure and Applied Analysis, 2020
We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
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Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

Advanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
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On the limit cycles for a class of eighth-order differential equations

Moroccan Journal of Pure and Applied Analysis, 2020
In this article, we provide sufficient conditions for the existence of periodic solutions of the eighth-order differential equation x(8)-(1+p2+λ2+μ2)x(6)+Ax⃜+Bx¨+p2λ2μ2x=ɛF(t,x,x˙,x¨,x⃛,x⃜,x(5),x(6)x(7)),{x^{\left( 8 \right)}} - \left( {1 + {p^2 ...
Berrehail Chems Eddine, Bouslah Zineb, Makhlouf Amar   +2 more
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Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities

Advanced Nonlinear Studies, 2019
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h⁢(t)⁢g⁢(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
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On the existence of periodic oscillations for pendulum-type equations

Advances in Nonlinear Analysis, 2020
We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T.
Cid J. Ángel
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Dynamic behaviors of a Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species

Open Mathematics, 2019
A Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species is proposed and studied.
Chen Fengde, Guan Xinyu, Huang Xiaoyan, Deng Hang   +3 more
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