Results 51 to 60 of about 143 (134)

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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Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]

, 2010
MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces.
Karthikeyan, P., Anguraj, A.
core  

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
doaj  

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 Uniqueness of the Solution for the Stochastic Equation of Motion of a Viscous Gas in a Discretized One-Dimensional Domain [PDF]

, 2015
A stochastic equation system corresponding to the description of the motion of a barotropic viscous gas in a discretized one-dimensional domain with a weight regularizing the density is considered.
Benchettah, A., Benseghir, R.
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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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