Results 1 to 10 of about 22 (22)

Bifurcations and exact traveling wave solutions for the regularized Schamel equation

Open Mathematics, 2021
In the present paper, we focus on studying the bifurcations and the traveling wave solutions (TWSs) for the regularized Schamel equation. Based on the bifurcation method of a dynamical system, a complete phase portrait analysis is given in various ...
Cai Qiue, Tan Kaixuan, Li Jiang
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Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

Open Mathematics, 2016
By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation.
Long Yuhua, Zhang Yuanbiao, Shi Haiping
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Infinitely-many solutions for subquadratic fractional Hamiltonian systems with potential changing sign

Advances in Nonlinear Analysis, 2015
In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
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Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems

Advances in Nonlinear Analysis, 2017
Under certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case.
Pankov Alexander
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Existence of a Heteroclinic Solution for a~Double Well Potential Equation in an Infinite Cylinder of ℝN

Advanced Nonlinear Studies, 2019
This paper is concerned with the existence of a heteroclinic solution for the following class of elliptic equations:
Alves Claudianor O.
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Homoclinics for singular strong force Lagrangian systems

Advances in Nonlinear Analysis, 2019
We study the existence of homoclinic solutions for a class of Lagrangian systems ddt$\begin{array}{} \frac{d}{dt} \end{array} $(∇Φ(u̇(t))) + ∇uV(t, u(t)) = 0, where t ∈ ℝ, Φ : ℝ2 → [0, ∞) is a G-function in the sense of Trudinger, V : ℝ × (ℝ2 ∖ {ξ}) → ℝ ...
Izydorek Marek, Janczewska Joanna, Mawhin Jean   +2 more
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Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth

Open Mathematics
In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
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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
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Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian

Boundary Value Problems, 2011
In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained using critical point theory.
Zhang Liang, Tang Xian, Chen Jing
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On the solvability of a boundary value problem on the real line

Boundary Value Problems, 2011
We investigate the existence of heteroclinic solutions to a class of nonlinear differential equations ( a ( x ) Φ ( x ′ ( t ) ) ) ′ = f ( t , x ( t ) , x ′ ( t ) ) , a . e . t &
Marcelli Cristina, Papalini Francesca, Cupini Giovanni   +2 more
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