Results 191 to 200 of about 1,359 (222)
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Homoclinic solutions for an anomalous diffusion system
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Yanheng, Guo, Qi
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Variational Approach to Homoclinic Solutions for Fractional Hamiltonian Systems
Journal of Optimization Theory and Applications, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nemat Nyamoradi +3 more
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Homoclinic and heteroclinic solutions of upheaval buckling
Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997Summary: 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.
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Homoclinic Solutions for a Forced Liénard Type System
Results in Mathematics, 2009The author investigates the existence of homoclinic solutions of the forced Liénard type system \[ \ddot{x}+F(\dot{x})+ g(x)=p(t), \] where \(F\) and \(g\) are continuous functions on \(\mathbb{R}\) and \(p\) is a bounded continuous function on \(\mathbb{R}\).
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Existence and Uniqueness of Homoclinic Solution for a Rayleigh Equation with a Singularity
Qualitative Theory of Dynamical Systems, 2020By using a continuation theorem of coincidence degree principle, the authors give some new results on the existence and uniqueness of homoclinic solution for the following singular Rayleigh equation, \[ x''(t)+f(x'(t))-g(x(t))-\frac{\alpha(t)x(t)}{1-x(t)}=h(t), \] where $f,g,h,\alpha:\mathbb{R}\rightarrow\mathbb{R}$ are continuous functions.
Lu, Shiping, Jia, Xuewen
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Homoclinic breather and rogue wave solutions to Maccari equation
Computers & Mathematics with Applications, 2020The (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
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Homoclinic solutions for a higher order difference equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homoclinic solutions for a class of fourth‐order difference equations
Mathematical Methods in the Applied Sciences, 2015In this paper, a class of fourth‐order nonlinear difference equation is considered. By making use of the critical point theory, we establish various sets of sufficient conditions for the existence of homoclinic solutions and give some new results. One of our results generalizes and improves the results in the literature.
Shi, Haiping, Liu, Xia, Zhang, Yuanbiao
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Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension
SIAM Journal on Mathematical Analysis, 1992Two parameter families of autonomous differential equations are considered, and it is assumed that at the origin of the parameter plane the origin of the phase space is a saddle type equilibrium of the system with a homoclinic trajectory. Conditions are given under which there exist one or more curves in the parameter plane at the points of which the ...
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MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR FRACTIONAL DISCRETE LAPLACIAN EQUATIONS
Rocky Mountain Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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