Necessary and sufficient conditions for existence and uniqueness of solutions of second-order autonomous differential equations

• Autores: Rodrigo López Pouso
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 2, 2005, págs. 397-414
• Idioma: inglés
• DOI: 10.1112/s0024610705006319
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• Resumen

  • The main result ensures that the scalar problem , , has a nonconstant locally solution if and only if there exists a nontrivial interval such that , , for almost all and Necessary and sufficient conditions for local and global uniqueness and for existence of periodic solutions are also established.