Abstract
Let E1 be the linear space of n-dimensional functions which are defined on R × Rn and satisfy the following conditions: Every function F(t, x) ∊ E1 has a compact support and is continuously differentiable with respect to x for a fixed t ∊ R. For a fixed x, the (vector and matrix-valued) functions
are measurable in t, and there exists a majorant m F (t) of |F(t, x)| + |F x (t, x)| which is summable on JR,
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© 1978 Plenum Press, New York
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Gamkrelidze, R.V. (1978). The Variation Formula for Solutions of Differential Equations. In: Principles of Optimal Control Theory. Mathematical Concepts and Methods in Science and Engineering, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7398-8_5
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DOI: https://doi.org/10.1007/978-1-4684-7398-8_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-7400-8
Online ISBN: 978-1-4684-7398-8
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