Existence and uniqueness of periodic solutions for Duffing equations across many points of resonance
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Publication:1320281
DOI10.1006/jdeq.1994.1030zbMath0799.34038OpenAlexW1982885216MaRDI QIDQ1320281
Publication date: 13 November 1994
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1994.1030
periodic solutionDuffing equationperiodic boundary value problemSchauder fixed point theoremoptimal control theorytwo point boundary value problem
Periodic solutions to ordinary differential equations (34C25) Existence theories for optimal control problems involving ordinary differential equations (49J15)
Related Items (18)
The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions ⋮ Second boundary value problems for nonlinear ordinary differential equations across resonance ⋮ Periodic solutions for 2kth order ordinary differential equations with nonresonance ⋮ Neumann problems for second order ordinary differential equations across resonance ⋮ Existence and uniqueness of solutions for periodic-integrable boundary value problem of second order differential equation ⋮ Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues ⋮ Stability, resonance and Lyapunov inequalities for periodic conservative systems ⋮ Exact multiplicity and stability of periodic solutions for a Duffing equation ⋮ An applied mathematical excursion through Lyapunov inequalities, classical analysis and differential equations ⋮ Optimal control approach to stability criteria on Hill's equations ⋮ A nonconvex dissipative system and its applications. I ⋮ Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign ⋮ Periodic solutions for some ordinary differential equations involving stability ⋮ Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations ⋮ Notes on existence and uniqueness of solutions for second order periodic-integrable boundary value problems ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method ⋮ Two-point boundary value problems for Duffing equations across resonance ⋮ Finding the periodic solution of differential equation via solving optimization problem
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