Coincidence degree methods in almost periodic differential equations
Copyright policy )Coincidence degree methods in almost periodic differential equations
The paper provides conditions for the existence of almost periodic solutions to differential equations using coincidence degree theory. A new equivalent spectral condition ensuring the compactness of integral operators on almost periodic function spaces has been established. The proposed approach has been applied to some classes of differential equations with an appropriate a priori estimate structure. In particular, conditions for the existence of almost periodic solutions to complex differential equations with analyticity in a bounded domain and to real linear differential equations with delay have been derived. It has been shown that the semigroup conditions are very important in these applications.
Integral operators, Almost and pseudo-almost periodic solutions to functional-differential equations, Applications of operator theory to differential and integral equations, spectra, Classical almost periodic functions, mean periodic functions, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, semigroups, Almost and pseudo-almost periodic solutions to ordinary differential equations, Linear operators defined by compactness properties, compact integral operators, almost periodic solutions, coincidence degree theory
Integral operators, Almost and pseudo-almost periodic solutions to functional-differential equations, Applications of operator theory to differential and integral equations, spectra, Classical almost periodic functions, mean periodic functions, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, semigroups, Almost and pseudo-almost periodic solutions to ordinary differential equations, Linear operators defined by compactness properties, compact integral operators, almost periodic solutions, coincidence degree theory
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