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Existence Theorems: Problems of Slow Growth
1983We discuss here existence theorems for the usual integrals \( I\left[ x \right] = {\text{ }}\int_{{{{t}_{1}}}}^{{{{t}_{2}}}} {{{F}_{0}}(t,x(t),x'(t))dt} {\text{ }} \) as in Section 11.1, but where F0(t, x, x′) does not satisfy any of the growth conditions we have considered in Chapters 11, 12, 13. Well known problems are of this kind (cf. Section 3.12).
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The Fundamental Duality Theorem of Balanced Growth [PDF]
In this paper we demonstrate that a simple duality relation underlies balanced growth models with non-joint production. Included in this class of models is the standard neoclassical growth model and endogenous growth models that admit balanced growth paths.
Ian King, Don Ferguson
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Cancer treatment and survivorship statistics, 2022
Ca-A Cancer Journal for Clinicians, 2022Kimberly D Miller +2 more
exaly
Current treatment and recent progress in gastric cancer
Ca-A Cancer Journal for Clinicians, 2021Smita S Joshi, Brian D Badgwell
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Existence Theorems: Weak Convergence and Growth Conditions
1983Let A be a subset of the tx-space Rn+1 and let A(t) denote its sections, that is, A(t) = [x ∈ R n | (t, x) ∈ A]. For every (t, x) ∈ A let Q(t, x) be a given subset of the z-space R n , x = (x1,…x n ), z = (z1,…,z n ). Let Mo be the set Mo = [(t,x, z) | (t, x) ∈ A, z ∈ Q(t, x)] ⊂ R1+2n and let F o (t, x, z) be a given real valued function defined on Mo.
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The growth theorem for holomorphic convex mappings
1998In the case of one complex variable, the following growth theorem is well known. If f (z) = z + … is holomorphic and univalent in the unit disk \( \Delta = \left\{ {z \in \mathbb{C}:\left| z \right| < 1} \right\} \), then $$\frac{r}{{{{(1 + r)}^2}}} \leqslant \left| {f(z)} \right| \leqslant \frac{r}{{{{(1 - r)}^2}}},\left| z \right| = r < 1.$$
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Treatment of muscle‐invasive and advanced bladder cancer in 2020
Ca-A Cancer Journal for Clinicians, 2020Vaibhav G Patel +2 more
exaly

