Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices

DOI10.1155/2014/436529zbMath1470.39029OpenAlexW2056583903WikidataQ59038248 ScholiaQ59038248MaRDI QIDQ1724126

Zhan Zhou, Genghong Lin

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/436529

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Ordinary lattice differential equations (34A33) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (3)

Homoclinic solutions in non-periodic discrete \(\phi\)-Laplacian equations with mixed nonlinearities ⋮ Existence of time homoclinic solutions for a class of discrete wave equations ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD

Cites Work

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• Ground state solutions for the periodic discrete nonlinear Schrödinger equations with superlinear nonlinearities
• Multibump solutions for discrete periodic nonlinear Schrödinger equations
• Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity
• Homoclinic solutions of a class of periodic difference equations with asymptotically linear nonlinearities
• Discrete nonlinear Schrödinger equations with superlinear nonlinearities
• Discrete solitons for periodic discrete nonlinear Schrödinger equations
• On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
• Centre manifold reduction for quasilinear discrete systems
• Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems
• Minimax theorems
• Existence and multiplicity results of homoclinic solutions for the DNLS equations with unbounded potentials
• On standing wave solutions for discrete nonlinear Schrödinger equations
• Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
• Ground State and Geometrically Distinct Solitons of Discrete Nonlinear Schrödinger Equations with Saturable Nonlinearities
• Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Exact solutions of the saturable discrete nonlinear Schrödinger equation
• Periodic motions of an infinite lattice of particles with nearest neighbor interaction
• Infinitely many homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
• A REMARK ON THE EXISTENCE OF BREATHER SOLUTIONS FOR THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION IN INFINITE LATTICES: THE CASE OF SITE-DEPENDENT ANHARMONIC PARAMETERS
• Gap solitons in periodic discrete nonlinear Schrödinger equations
• Homoclinic solutions for a class of second order discrete Hamiltonian systems
• Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.

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