Semi-periodic solutions of difference and differential equations

DOI10.1186/1687-2770-2012-141zbMath1279.42005OpenAlexW2133765859WikidataQ59271811 ScholiaQ59271811MaRDI QIDQ384523

Jan Andres, Denis Pennequin

Publication date: 28 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-141

zbMATH Keywords

differential equationdifference equationsemi-periodic functionsemi-periodic sequencesemi-periodic solution

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Classical almost periodic functions, mean periodic functions (42A75) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (9)

Limit periodic perturbations of difference systems with coefficients from commutative groups ⋮ Metrical almost periodicity, metrical approximations of functions and applications ⋮ Limit periodic homogeneous linear difference systems ⋮ Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups ⋮ Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities ⋮ \(c\)-almost periodic type functions and applications ⋮ Note on limit-periodic solutions of the difference equation \(x_{t+1} - [h(x_t)+\lambda x_t= r_t\), \(\lambda >1\)] ⋮ Semi-Bloch periodic functions, semi-anti-periodic functions and applications

Cites Work

• On almost-periodic linear differential systems of Millionscikov and Vinograd
• On the notion of derivo-periodicity
• Limit periodic functions, adding machines, and solenoids
• Fourier-Stieltjes transforms of discrete measures; periodic and semiperiodic functions
• On the nonexistence of purely Stepanov almost-periodic solutions of ordinary differential equations
• On Stepanov almost-periodic oscillations and their discretizations
• Asymptotic Solutions of Hamilton–Jacobi Equations with Semi-Periodic Hamiltonians
• Spaces of quasi-periodic functions and oscillations in differential equations

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