An application of a global inversion theorem to an existence and uniqueness theorem for a class of nonlinear systems of differential equations
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Publication:1012088
DOI10.1016/j.na.2008.07.044zbMath1192.34048OpenAlexW1975017818MaRDI QIDQ1012088
Publication date: 14 April 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.07.044
Periodic solutions to ordinary differential equations (34C25) Existence of solutions for minimax problems (49J35)
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Cites Work
- Periodic solutions for second order differential equations
- Existence and uniqueness of periodic solution for a class of differential systems
- An existence and uniqueness theorem for a second order nonlinear system
- A min max theorem
- On the unique solvability of semi-linear operator equations in Hilbert spaces
- Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance
- An existence theorem for periodically perturbed conservative systems
- On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence
- A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation
- A min-max theorem and its applications to nonconservative systems
- Periodic solutions for \(2k\)th boundary value problem with resonance
- A non variational version of a max-min principle
- On periodic solutions of nonconservative systems
- A mini max theorem and applications to nonresonance problems for semilinear equations
- Periodically perturbed conservative systems and a global inverse function theorem
- Global inversion theorems and applications to differential equations
- A note on global inversion theorems and applications to differential equations
- Homeomorphisms Between Banach Spaces
- Periodic solutions for 2kth order ordinary differential equations with nonresonance
- A criterion of invertibility in the large for local diffeomorphisms between Banach spaces
- Diffeomorphisms with Banach space domains
- An Application of Hadamard-Levy's Theorem to a Scalar Initial Value Problem
- On the periodic solution to the Newtonian equation of motion
- UNIQUE SOLVABILITY OF CERTAIN NONLINEAR BOUNDARY VALUE PROBLEMS VIA A GLOBAL INVERSION THEOREM OF HADAMARD-LÉVY TYPE
- On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
- Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
- Periodic solutions for \(2k\)th order ordinary differential equations with resonance
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