Results 151 to 160 of about 697 (183)

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.
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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
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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
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Homoclinic Solutions for a Forced Liénard Type System

Results in Mathematics, 2009
The 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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Homoclinic Solutions in Bazykin’s Predator-Prey Model

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2020
In this paper we derive an explicit second-order approximation of the homoclinic solutions in the Bazykin’s predator-prey model. The analytic solutions are compared with those obtained by numerical continuation.
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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.
Nyamoradi, Nemat, Zhou, Yong, Ahmad, Bashir, Alsaedi, Ahmed   +3 more
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Homoclinic solutions for nonlinear general fourth‐order differential equations

Mathematical Methods in the Applied Sciences, 2017
This work provides sufficient conditions for the existence of homoclinic solutions of fourth‐order nonlinear ordinary differential equations. Using Green's functions, we formulate a new modified integral equation that is equivalent to the original nonlinear equation.
Hugo Carrasco, Feliz Minhós
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Machine Learning in IoT Security: Current Solutions and Future Challenges

IEEE Communications Surveys and Tutorials, 2020
Rasheed Hussain, Syed Ali Hassan, Ekram Hossain   +2 more
exaly  

MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR FRACTIONAL DISCRETE LAPLACIAN EQUATIONS

Rocky Mountain Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Electrolyte solutions design for lithium-sulfur batteries

Joule, 2021
Ruqiang Zou, Quanquan Pang
exaly