Periodic or bounded solutions of Carathéodory systems of ordinary differential equations

DOI10.1023/B:JODY.0000009739.00640.44zbMath1055.34035MaRDI QIDQ1425222

Jean Mawhin, H. B. Thompson

Publication date: 15 March 2004

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsordinary differential equationsbounded solutionsboundary values problemsguiding functionsScorza-Dragoni lemma

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items

On one approach to the study of the periodic problem for random differential equations ⋮ An approximation solvability method for nonlocal differential problems in Hilbert spaces ⋮ Existence results for evolution equations with superlinear growth ⋮ Nonlocal solutions of parabolic equations with strongly elliptic differential operators ⋮ Bounded and periodic solutions of semilinear impulsive periodic system on Banach spaces ⋮ Method of guiding functions for existence problems for periodic solutions of differential equations ⋮ Localization of the method of guiding functions in the problem about periodic solutions of differential inclusions ⋮ Strictly localized bounding functions for vector second-order boundary value problems ⋮ Efficient domain decomposition preconditioning for the hierarchical \(p\)-version. I ⋮ BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications ⋮ Rotating-symmetric solutions for nonlinear systems with symmetry