Multiplicity of solutions for a class of perturbed fractional Hamiltonian systems

DOI10.1007/s40840-020-00898-8zbMath1479.34016OpenAlexW3003362606MaRDI QIDQ2210191

Oliverio Pichardo, César E. Torres Ledesma

Publication date: 5 November 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00898-8

zbMATH Keywords

fractional Sobolev spacesBolle's perturbation methodperturbed fractional Hamiltonian systems

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Fractional ordinary differential equations (34A08)

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Cites Work

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• Solutions for perturbed fractional Hamiltonian systems without coercive conditions
• Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
• Critical point theory and Hamiltonian systems
• On the Bolza problem
• Deformation from symmetry and multiplicity of solutions in non-homogeneous problems
• Multiple homoclinic orbits for a class of second order perturbed Hamiltonian systems
• Homoclinic orbits for a class of fractional Hamiltonian systems via variational methods
• Multiple solutions for a class of fractional Hamiltonian systems
• Advanced methods in the fractional calculus of variations
• Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives
• Ground state solution for differential equations with left and right fractional derivatives
• Variational approach to solutions for a class of fractional Hamiltonian systems
• Solutions for subquadratic fractional Hamiltonian systems without coercive conditions
• Multiple Critical Points of Perturbed Symmetric Functionals
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Existence of solution for perturbed fractional Hamiltonian systems