Results 91 to 100 of about 1,359 (222)
Saddle-node bifurcations of multiple homoclinic solutions in ODES
Discrete and Continuous Dynamical Systems - B, 2017 The authors study periodic perturbations of differential equations possessing a homoclinic orbit along which the tangent spaces of the corresponding stable and unstable manifolds intersect in a three-dimensional space. This paper can be seen as a continuation of the work ``Multiple transverse homoclinic solutions near a degenerate homoclinic orbit ...
Lin, Xiao-Biao, Zhu, Changrong
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Abstract and Applied Analysis, 2014 We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such equations possess infinitely homoclinic solutions.
Liu Yang
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Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
Boundary Value Problems, 2018 By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.
Chunhua Deng, Dong-Lun Wu
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On symmetric positive homoclinic solutions of semilinear p-Laplacian differential equations [PDF]
, 2012 Stepan Tersian
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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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Existence of homoclinic solutions to periodic orbits in a center manifold
Journal of Differential Equations, 2004 The authors study a Hamiltonian system with Lagrangian \[ L(x,\dot{x},q,\dot{q})=\tfrac{1}{2}(\dot{x}^2 - x^2)+ \tfrac{1}{2}\dot{q}^2 + (1+\delta(x))V(q), \] where \(V\) is \(2\pi\)-periodic, nonnegative and \(V''(0)=0\) while \(\delta\) and \(\delta'\) satisfy some boundedness conditions.
COTI ZELATI V, MACRI', MARTA
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Electronic Journal of Differential Equations, 2015 In this article, we sutdy the multiplicity of homoclinic solutions to the perturbed second-order discrete Hamiltonian system $$ \Delta[p(n)\Delta u(n-1)]-L(n)u(n)+\nabla W(n,u(n))+\theta\nabla F(n,u(n))=0, $$ where L(n) and W(n,x) are neither ...
Liang Zhang, Xianhua Tang
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Partial Differential Equations in Applied MathematicsIn this work, we develop multi-wave, homoclinic breathers, M-shaped rational, 1-kink interactions with M-shaped, periodic-cross rational and kink-cross rational solutions for the fifth-order Sawada-Kotera equation, which represents the motion of long ...
Sajawal Abbas Baloch +4 more
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On sequences of homoclinic solutions for fractional discrete $ p $-Laplacian equations
, 2023 Chunming Ju +2 more
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