Periodic boundary value problems can be reduced to fixed point equations of integral type. After this reduction the Leray-Schauder degree becomes an useful tool for proving the existence of periodic solutions. The purpose of this paper is to discuss the analogous approach for almost periodic problems and to show by means of examples that degree theory is not applicable in this setting.
CITATION STYLE
Ortega, R. (2008). Degree theory and almost periodic problems. In Progress in Nonlinear Differential Equations and Their Application (Vol. 75, pp. 345–356). Springer US. https://doi.org/10.1007/978-3-7643-8482-1_26
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