Retracts, fixed point index and differential equations
نویسندگان
چکیده
منابع مشابه
Retracts, fixed point index and differential equations
Some problems in differential equations evolve towards Topology from an analytical origin. Two such problems will be discussed: the existence of solutions asymptotic to the equilibrium and the stability of closed orbits of Hamiltonian systems. The theory of retracts and the fixed point index have become useful tools in the study of these questions. Retractos, ı́ndice de punto fijo y ecuaciones d...
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Many problems in the theory of differential equations were initially treated with analytic techniques and later evolved towards more topological approaches. Perhaps the most paradigmatic case is found in the study of nonlinear boundary value problems. The classical proofs based on successive approximations or in the implicit function theorem were soon replaced by the use of fixed points and deg...
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ژورنال
عنوان ژورنال: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
سال: 2008
ISSN: 1578-7303,1579-1505
DOI: 10.1007/bf03191813