Periodic solutions for discontinuous perturbations of the relativistic operator

DOI10.1016/J.BULSCI.2015.02.002zbMath1344.34033OpenAlexW2051974773MaRDI QIDQ905841

Călin Şerban, Jean Mawhin, Petru Jebelean

Publication date: 28 January 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2015.02.002

zbMATH Keywords

differential inclusionsperiodic solutionsvariational methodnon-smooth critical point theoryFilippov type solutionsrelativistic operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60) Discontinuous ordinary differential equations (34A36) Perturbations of nonlinear operators (47H14) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (10)

Periodic solution for second-order impulsive differential inclusions with relativistic operator ⋮ Multiple critical orbits to partial periodic perturbations of the \(p\)-relativistic operator ⋮ Fixed point index theory for decomposable multivalued maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ A vector p-Laplacian type approach to multiple periodic solutions for the p-relativistic operator ⋮ Periodic solutions for systems with \(p\)-relativistic operator and unbounded discontinuous nonlinearities ⋮ Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ Heteroclinic solutions of singular quasilinear bistable equations ⋮ Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator ⋮ Homoclinic solutions for a class of relativistic Liénard equations ⋮ Unnamed Item

Cites Work

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• On a nonsmooth fourth order boundary value problem
• A Variational Method for Boundary Value Problems with Discontinuous Nonlinearities
• Multiple periodic solutions for perturbed relativistic pendulum systems
• Differential equations with discontinuous right-hand side

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