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Zbl 0748.34040
Byszewski, Ludwik
Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem. (English)
[J] J. Math. Anal. Appl. 162, No.2, 494-505 (1991). ISSN 0022-247X

Theorem on existence and uniqueness for semilinear evolution equations in Banach spaces are given. The problem is a ``nonlocal'' one, i.e., a relation between the solution values at different time-points is given. The theory of semigroups of linear operators is the main tool used.
[C.Marinov (Bucureşti)]

MSC 2000:: *34G20 Nonlinear ODE in abstract spaces
47D06 One-parameter semigroups and linear evolution equations

Keywords: nonlocal Cauchy problem; existence; uniqueness; semilinear evolution equations; Banach spaces; nonlocal

Cited in: Zbl pre05904785 Zbl 1028.45006 Zbl 1001.34052 Zbl 0912.34053 Zbl 0776.34050 Zbl 0776.34049 Zbl 0774.35038

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