Results 61 to 70 of about 623 (125)

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
doaj   +1 more source

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
doaj   +1 more source

$(ω,ρ)$-Periodic solutions of abstract integro-differential impulsive equations on Banach space [PDF]

arXiv, 2022
In this paper, we investigate the existence and uniqueness of $(\omega,{\rho})$-periodic solutions for a class of the abstract impulsive integro-differential equations on Banach space.
arxiv  

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
doaj   +1 more source

DYNAMICAL BEHAVIORS OF TRAVELING WAVE SOLUTIONS OF A GENERALIZED K(N, 2N, -N) EQUATIONS

, 2018
In this paper, the analytical and numerical evaluation of a generalized K(n, 2n, -n) equation is studied by the qualitative theory of bifurcations method.
T. Leta, Li Jibin
semanticscholar   +1 more source

Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems

Open Mathematics
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
doaj   +1 more source

Existence and global attractivity of positive periodic solutions for a Holling II two-prey one-predator system

Advances in Differential Equations, 2012
In this paper, a Holling II two-pery one-predator system is investigated. Based on the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov function, we derive a set of sufficient conditions that guarantee the ...
Changjin Xu, Peiluan Li, Yuanfu Shao
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Dual morse index estimates and application to Hamiltonian systems with P-boundary conditions [PDF]

arXiv, 2016
In this paper, we study the multiplicity of Hamiltonian systems with P-boundary conditions.
arxiv