Results 21 to 30 of about 3,396,163 (214)
Existence and multiplicity of homoclinic solutions for a difference equation
Electronic Journal of Differential Equations, 2020 The aim of this article is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. Our approach is based on variational methods.
SHAPOUR HEIDARKHANI +2 more
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
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Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation
Abstract and Applied Analysis, 2014 A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed.
Hanlin Chen, Zhenhui Xu, Zhengde Dai
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the existence of positive even homoclinic solutions for the $p$-Laplacian equation \begin{equation*} (|u'|^{p-2}u')' - a(t)|u|^{p-2}u+f(t,u)=0,\qquad t\in \mathbb{R}, \end{equation*} where $p\ge 2$ and the functions $a ...
Adel Daouas, Monia Boujlida
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Spatially localized binary fluid convection in a porous medium [PDF]
, 2010 The origin and properties of time-independent spatially localized binary fluid convection in a layer of porous material heated from below are studied.
Bergeon, Alain +5 more
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Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the ...
Qiang Zheng
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Multiple transverse homoclinic solutions near a degenerate homoclinic orbit
Journal of Differential Equations, 2015 The authors study periodic perturbations of differential equations possessing a degenerate homoclinic orbit. Regarding the degeneracy it is assumed more precisely that along the homoclinic orbit the tangent spaces of the corresponding stable and unstable manifolds intersect in a two-dimensional space.
Lin, Xiao-Biao +2 more
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Mathematics, 2023 We explore stochastic–fractional Drinfel’d–Sokolov–Wilson (SFDSW) equations for some wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave solution and homoclinic breather wave solution.
Shami A. M. Alsallami +2 more
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Complexity, 2020 In this paper, mathematical models for the management of biological resources based on a given predator-prey relationship are proposed, and two types of control strategies, unilateral and bilateral control with impulsive state feedback, are studied.
Mingzhan Huang +3 more
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Existence of homoclinic orbit in generalized Liénard type system
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable ...
Tohid Kasbi +2 more
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