Abstract
Let A be a bounded quasinilpotent linear operator on a Banach space and f be a vector-valued function holomorphic in a neighborhood of zero. The problem of the existence and uniqueness of holomorphic and entire solution of the implicit differential equation \( Aw' + f\left( z \right) = w \) is considered.
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Gefter, S., Stulova, T. (2009). On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 191. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9921-4_20
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DOI: https://doi.org/10.1007/978-3-7643-9921-4_20
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