In this paper we shall study the existence of a periodic solution to the nonlinear ลฝ . ลฝ ลฝ .. differential equation x q Ax y A\*x y A\*Ax q B t x q f t, x t s 0 in some complex Hilbert space, using duality and variational methods.
โฆ LIBER โฆ
Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
โ Scribed by M. Benchohra; S.K. Ntouyas
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 69 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we investigate the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer.
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