Results 171 to 180 of about 2,741,766 (204)

Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems

Journal of Optimization Theory and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nemat Nyamoradi, Yong Zhou 0005, Bashir Ahmad 0003, Ahmed Alsaedi   +3 more
openaire   +3 more sources

Homoclinic Solutions of Differential Equations

2001
In recent years, starting with works of Bolotin [Bol], Coti-Zelati, Ekeland and Sere [CZES], Coti-Zelati & Rabinowitz [CZR1], [CZR2], Rabinowitz [Ra4], variational methods have been applied to study the existence of homoclinic and heteroclinic solutions of second-order equations and Hamiltonian systems.
Maria do Rosário Grossinho, Stepan Agop Tersian   +1 more
openaire   +1 more source

Homoclinic solutions for Davey-Stewartson equation

Chaos, Solitons & Fractals, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jian, Dai, Zhengde
openaire   +2 more sources

The Homoclinic Orbit Solution for Functional Equation

Communications in Theoretical Physics, 2002
In this paper, some examples, such as iterated functional systems, scaling equation of wavelet transform, and invariant measure system, are used to show that the homoclinic orbit solutions exist in the functional equations too. And the solitary wave exists in generalized dynamical systems and functional systems.
Liu Shi-Da, Fu Zun-Tao, Liu Shi-Kuo, Ren Kui   +3 more
openaire   +1 more source

Homoclinic and heteroclinic solutions of upheaval buckling

Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997
Summary: Upheaval of a heavy flexible strut from a rigid bed is viewed as an initial value problem, and spatial kinetic and potential energy functions are consequently defined. Upheaval from a perfectly flat state is characterized by the simultaneous vanishing of both functions at the boundaries.
Hunt, G. W., Blackmore, A.
openaire   +1 more source

Homoclinic breather and rogue wave solutions to Maccari equation

Computers & Mathematics with Applications, 2020
The (2+1)-dimensional Maccari nonlinear system is given by \begin{align*} \mathrm{i}u_t+u_{xx}+u v & =0\\ v_t + v_y + (|u|^2)_x & =0, \end{align*} where \(u=u(x,y,t)\) and \(v=v(x,y,t)\) are, respectively, complex- and real-valued functions of the temporal variable \(t\) and the spatial variables \(x\) and \(y\).
Ying Jiang, Da-Quan Xian, Xiao-Rong Kang
openaire   +2 more sources

Homoclinic solutions for an anomalous diffusion system

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Yanheng, Guo, Qi
openaire   +1 more source

Fast homoclinic solutions for a class of damped vibration problems

Applied Mathematics and Computation, 2013
Authos' abstract: We deal with the existence and multiplicity of homoclinic solutions of the following damped vibration problem \[ \ddot{u}(t) + q(t)\dot{u}(t) - L(t)u(t) + \nabla W(t, u(t)) = 0, \] where \(L(t)\) and \(W(t, x)\) are neither autonomous nor periodic in \(t\). Our approach is variational and it is based on the critical point theory.
Ravi Agarwal
exaly   +4 more sources

Periodic and homoclinic solutions generated by impulses

Nonlinear Analysis: Real World Applications, 2011
The topic of interest is the following class of second order differential equations with impulses \[ \ddot{q}+V_q(t,q)=f(t),\qquad t \in (s_{k-1},s_k), \] \[ \Delta \dot{q}(s_k)= g_{k}(q(s_k)), \] where \(k \in \mathbb{Z}\), \(q \in \mathbb{R}^n\), \(\Delta \dot{q}(s_k)= \dot{q}(s_k^+)- \dot{q}(s_k^-)\), \(V_q(t,q)=\text{grad}_q V(t,q)\), \(g_k(q ...
Zhang, Hao, Li, Zhixiang
openaire   +2 more sources

Generic existence of nondegenerate homoclinic solutions

Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Motreanu, D., Motreanu, V. V.
openaire   +2 more sources