Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator
DOI10.1007/S12346-021-00481-XzbMath1484.34071OpenAlexW3163624335MaRDI QIDQ2037349
Suiming Shang, Yue Yue, Yu Tian, Zhanbing Bai
Publication date: 30 June 2021
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-021-00481-x
locally Lipschitz functionalsnon-smooth critical point theoryinfinitely many solutionsimpulsive differential inclusionrelativistic operator
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Ordinary differential inclusions (34A60) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Cites Work
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- Multiple solutions for impulsive problems with non-autonomous perturbations
- Periodic solutions of the forced relativistic pendulum
- Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian
- Three anti-periodic solutions for second-order impulsive differential inclusions via nonsmooth critical point theory
- Optimization of Mayer problem with Sturm-Liouville-type differential inclusions
- Periodic solutions for discontinuous perturbations of the relativistic operator
- Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
- Critical point theory and Hamiltonian systems
- Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
- Infinitely many nonnegative solutions for a fractional differential inclusion with oscillatory potential
- Variational approaches for a \(p\)-Laplacian boundary-value problem with impulsive effects
- Almost periodic solutions at infinity of differential equations and inclusions
- Periodic solution for second-order impulsive differential inclusions with relativistic operator
- Solutions to a boundary value problem of a fourth-order impulsive differential equation
- On singular elliptic equations involving oscillatory terms
- Infinitely many solutions for a class of systems of differential inclusions
- Three periodic solutions for an ordinary differential inclusion with two parameters
- The Applications of Critical-Point Theory to Discontinuous Fractional-Order Differential Equations
- Existence of one non‐trivial anti‐periodic solution for second‐order impulsive differential inclusions
- Existence of Global Solutions for a Class of Abstract Second-Order Nonlocal Cauchy Problem with Impulsive Conditions in Banach Spaces
- Multiple periodic solutions for perturbed relativistic pendulum systems
- Impulse differential inclusions: a viability approach to hybrid systems
- Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces
- Boundary value problems for semilinear differential inclusions of fractional order in a Banach space
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