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- W131996181 abstract "This chapter discusses periodic solutions and perturbed semigroups of linear operators. It considers a Banach space X with norm | · |. It is supposed that { T ( t ) : t > 0} is a strongly continuous linear semigroup on the Banach space X and D is a closed subset of X such that if x ∈ D , then T ( t ) x ∈ D for all t > 0. The chapter discusses the integral equation u ( t ) = T ( t ) z + ∫ T ( t − r ) F ( r , u ( r )) dr , z ∈ D , where F : [0, ∞) × D → X is continuous. This chapter discusses the existence of solutions and periodic solutions to integral equation." @default.
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- W131996181 date "1977-01-01" @default.
- W131996181 modified "2023-10-01" @default.
- W131996181 title "PERIODIC SOLUTIONS AND PERTURBED SEMIGROUPS OF LINEAR OPERATORS" @default.
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- W131996181 doi "https://doi.org/10.1016/b978-0-12-434150-0.50055-2" @default.
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