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The equation
y′(t) = F(t, y(g(t)))
Muril Lynn Robertson |
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Vol. 43 (1972), No. 2, 483–491
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Abstract |
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A functional differential equation, in general, is a relationship in which the rate of change of the state of the system at time t depends on the state of the system at values of time, perhaps other than the present. In this paper, sufficient conditions are given for g so that the initial value problem y′(t) = F(t,y(g(t))),y(p) = q, may be solved uniquely; where F is both continuous into the Banach space B, and is Lipschitzean in the second position. |
Mathematical Subject Classification
Primary: 34G05
Secondary: 34A10
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Milestones
Received: 4 August 1971
Published: 1 November 1972
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Authors |
| Muril Lynn Robertson | |
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