Abstract
This chapter deals with problems associated with differential equations of the first order with an unbounded operator coefficient A in Banach space. The operatorvalued function e-tA (generated by A) plays an important role for these equations. This function is called also an operator exponential.
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© 2011 Springer Basel
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Gavrilyuk, I., Makarov, V., Vasylyk, V. (2011). The first-order equations. In: Exponentially Convergent Algorithms for Abstract Differential Equations. Frontiers in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0119-5_3
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DOI: https://doi.org/10.1007/978-3-0348-0119-5_3
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0118-8
Online ISBN: 978-3-0348-0119-5
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