Results 101 to 110 of about 864 (203)
Abstract and Applied Analysis, 2014 This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects.
Qiongfen Zhang
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Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2010 We study the existence of homoclinic solutions for the second order Hamiltonian system $\ddot{u}+V_{u}(t,u)=f(t)$. Let $V(t,u)=-K(t,u)+W(t,u)\in C^{1}(\mathbb{R}\times\mathbb{R}^{n}, \mathbb{R})$ be $T$-periodic in $t$, where $K$ is a quadratic growth ...
Jian Ding, Junxiang Xu, Fubao Zhang
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Homoclinic orbits of a class of second-order difference equations
, 2012 In this paper, we apply the variational method and the spectral theory of difference operators to investigate the existence of homoclinic orbits of the second-order difference equation Δ2x(t−1)−L(t)x(t)+Vx′(t,x(t))=0 in the two cases that V(t,⋅) is ...
Shi, Yuming, Zhang, Xu
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, 1994 Previously obtained results from the study of homoclinic bifurcations in ordinary differential equations are presented. The standard technique of analysis involves the construction of a Poincaré map on a surface near to the homoclinic point.
Drysdale, D.M, Drysdale, David
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Homoclinic orbits for a class of $p$-Laplacian systems with periodic assumption
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, by using a linking theorem, some new existence criteria of homoclinic orbits are obtained for the $p$-Laplacian system $d(|\dot{u}(t)|^{p-2}\dot{u}(t))/dt+\nabla V(t,x)=f(t)$, where $p>1$, $V(t,x)=-K(t,x)+W(t,x)$.
Xingyong Zhang
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, 1989 In this paper we analyze various control-theoretic aspects of a nonlinear control system possessing homoclinic or heteroclinic orbits. In particular, we show that for a certain class of nonlinear control system possessing homoclinic orbits, a control can
Marsden, J. E., Bloch, A. M.
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Homoclinic Orbits for First Order Hamiltonian Systems
, 1995 We establish the existence of homoclinic orbits for a class of first order time dependent Hamiltonian systems, ż = JHz(t, z), without any periodicity assumption on ...
Ding, Y.H., Li, S.J.
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Advances in Difference Equations, 2017 In this paper, we investigate the existence and multiplicity of homoclinic solutions for a class of nonlinear difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi _{2})$ -Laplacian and a parameter: { Δ ( ρ 1 ( n − 1 ) ϕ 1 ( Δ u 1 ( n − 1 )
Xingyong Zhang +3 more
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Homoclinic orbits for a class of second-order Hamiltonian systems with concave-convex nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper, we study the existence of multiple homoclinic solutions for the following second order Hamiltonian systems \begin{equation*} \ddot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0, \end{equation*} where $L(t)$ satisfies a boundedness assumption which is ...
Dong-Lun Wu, Chun-Lei Tang, Xing-Ping Wu
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