A dynamical approach to lower and upper solutions for planar systems. ``To the memory of Massimo Tarallo

DOI10.3934/dcds.2021012zbMath1478.34043OpenAlexW3120174280MaRDI QIDQ2030791

Alessandro Fonda, Rodica Toader

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021012

zbMATH Keywords

lower and upper solutionsperiodic systemsbounded solutionsalmost periodic solutionsWażewski methodMassera Theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nonautonomous smooth dynamical systems (37C60)

Related Items (8)

Periodic solutions to superlinear indefinite planar systems: a topological degree approach ⋮ Periodic solutions of Hamiltonian systems coupling twist with generalized lower/upper solutions ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ A lower/upper solutions result for generalised radial \(p\)-Laplacian boundary value problems ⋮ Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions ⋮ Well-ordered and non-well-ordered lower and upper solutions for periodic planar systems ⋮ Two-point boundary value problems for planar systems: a lower and upper solutions approach ⋮ On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems

Cites Work

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• An overview of the lower and upper solutions method with nonlinear boundary value conditions
• Lower and upper solutions to semilinear boundary value problems: an abstract approach
• Almost periodic solutions of nonlinear second order differential equations
• A boundedness result of Landesman-Lazer type
• Almost periodic upper and lower solutions.
• Il problema dei valori ai limiti studiato in grande per le equazioni differenziali del secondo ordine
• Bounded solutions of nonlinear second order ordinary differential equations
• Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem
• Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions
• Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori
• Limit periodic upper and lower solutions in a generic sense
• Bounded solutions for a forced bounded oscillator without friction
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Two-point boundary value problems. Lower and upper solutions
• Uniqueness theorems and almost periodic solutions to second order differential equations
• Bounded solutions of nonlinear second order differential equations
• A general boundary value problem technique
• Eine neue Methode zur Approximation periodischer Lösungen nicht- linearer Differentialgleichungen zweiter Ordnung
• Zwei Kriterien für die Existenz periodischer Lösungen von Differentialgleichungen zweiter Ordnung
• The existence of periodic solutions of systems of differential equations
• Bounded Solutions of Some Second Order Nonlinear Differential Equations
• Examples of the nonexistence of a solution in the presence of upper and lower solutions
• Periodic Differential Equations in the Plane
• Resonance and non-resonance in a problem of boundedness
• A Variation of the Topological Method of Ważewski
• A Nonstandard Resonance Problem for Ordinary Differential Equations

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