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1975
Consider a system of differential equations $$ {x^1}{\text{ = }}f(t,x){\text{ }}{{\text{(}}^1}{\text{ = }}\frac{d}{{dt}}) $$ (6.1) . Suppose that f(t,x) e C(I × D,Rn), where I = [0,∞) and D is a connected open set in R. Let F be a class of solutions of (6.1) which remain in D and let x0(t) be an element of F.
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Consider a system of differential equations $$ {x^1}{\text{ = }}f(t,x){\text{ }}{{\text{(}}^1}{\text{ = }}\frac{d}{{dt}}) $$ (6.1) . Suppose that f(t,x) e C(I × D,Rn), where I = [0,∞) and D is a connected open set in R. Let F be a class of solutions of (6.1) which remain in D and let x0(t) be an element of F.
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The Nikodym Boundedness theorem and the uniform boundedness principle
1983Charles Swartz, Piotr Antosik
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