Počet záznamů: 1
Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities
- 1.0504396 - MÚ 2020 RIV DE eng J - Článek v odborném periodiku
Hakl, Robert - Zamora, M.
Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities.
Advanced Nonlinear Studies. Roč. 19, č. 2 (2019), s. 317-332. ISSN 1536-1365. E-ISSN 2169-0375
Institucionální podpora: RVO:67985840
Klíčová slova: indefinite weight * periodic solution * singular differential equation
Obor OECD: Applied mathematics
Impakt faktor: 1.533, rok: 2019
Způsob publikování: Omezený přístup
http://dx.doi.org/10.1515/ans-2018-2018
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u ′′ = h (t)g(u) are established. Here, g : ( A , B ) → (0, + ∞) is a positive function with two singularities, and h ϵ L (ℝ/T ℤ) is a general sign-changing function. The obtained results have a form of relation between multiplicities of zeros of the weight function h and orders of singularities of the nonlinear term. Our results have applications in a physical model, where from the equation u ′′ = h(t) sin2 u one can study the existence and multiplicity of periodic motions of a charged particle in an oscillating magnetic field on the sphere. The approach is based on the classical properties of the Leray-Schauder degree.
Trvalý link: http://hdl.handle.net/11104/0296036
Počet záznamů: 1