Periodic solutions of second-order differential equations with discontinuous nonlinearity

DOI10.1007/S10958-013-1327-4zbMath1312.34081OpenAlexW2023515441MaRDI QIDQ357336

I. L. Nyzhnyk, A. O. Krasneeva

Publication date: 30 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1327-4

zbMATH Keywords

periodic solutionsoscillatory solutionssecond order differential equationschaotic solutionsdiscontinuous nonlinearity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36)

Related Items (9)

Differential equations with bistable nonlinearity ⋮ On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity ⋮ Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero ⋮ Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence ⋮ On one type of oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay and a perturbation ⋮ Oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay without entering the saturation zones ⋮ Approximation to the Sturm-Liouville problem with a discontinuous nonlinearity ⋮ On Solutions of the One-Dimensional Goldshtik Problem ⋮ Existence of periodic modes in automatic control system with a three-position relay

Cites Work

• Spatial chaos in a fourth-order nonlinear parabolic equation
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