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Three Theorems on Growth and Competition [PDF]

, 2007
This paper proves three theorems on growth and competition in a standard increasing variety endogenous growth model and draws conclusions for second-best competition policies. First, no growth may be better than some growth, since modest positive growth potentially requires sizeable static welfare losses.
Arnold, Lutz G., Bauer, Christian J.
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THE EXISTENCE THEOREM OF OPTIMAL GROWTH MODEL

Acta Mathematica Scientia, 2005
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Gong, Liutang, Peng, Xianze
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Voronovskaja’s theorem for functions with exponential growth

Georgian Mathematical Journal, 2018
Abstract In the present paper we establish a general form of Voronovskaja’s theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szász–Mirakyan and Baskakov-type operators.
Tachev, Gancho, Gupta, Vijay, Aral, Ali
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The growth theorem and distortion theorem of spirallike mappings on B p

Acta Mathematica Sinica, English Series, 2015
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Liu, Hao, Lu, Ke Ping, Zhang, Fang Fang
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The Indicator of Growth Theorem

1986
We have seen in Chapter 1 that the radial indicator h f ⋆ of an entire function f (z) of normal type with respect to a proximate order ρ(r) satisfies i) h f ⋆ (z) = tρh f ⋆ (z) for t≧0; ii) h f ⋆ (z) is plurisubharmonic in ℂ n .
Pierre Lelong, Lawrence Gruman
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Limit theorems for stochastic growth models. II

Advances in Applied Probability, 1972
We consider d-dimensional stochastic processes which take values in (R+)d These processes generalize Galton-Watson branching processes, but the main assumption of branching processes, independence between particles, is dropped. Instead, we assume for some Here τ:(R+)d→R +, |x| = σ1d |x(i)|, A {x ∈(R+)d: |x| 1} and T: A→A.
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EXISTENCE THEOREMS FOR LINEAR GROWTH PROCESSES WITH DIFFUSION

Acta Mathematica Scientia, 1987
The linear growth processes with diffusion, whose existence is established in this paper, are among the reaction diffusion processes which were introduced by Nicolis and Prigogine, and by Haken. Let S be a countable site set, \(X=Z^ S_+\). For \(\eta\in X\), \(u\in S\), \(\eta(u)\) is the number of particles at site u.
Zheng, Xiaogu, Ding, Wanding
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Sublinear dimension growth in the Kreiss Matrix Theorem

St. Petersburg Mathematical Journal, 2014
Summary: A possible sublinear dimension growth in the Kreiss matrix theorem, bounding the stability constant in terms of the Kreiss resolvent characteristic, is discussed. Such a growth is proved for matrices having unimodular spectrum and acting on a uniformly convex Banach space. The principal arguments come from geometric properties of eigenvectors,
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Phragmén–Lindelöf theorems for equations with nonstandard growth

Nonlinear Analysis: Theory, Methods & Applications, 2014
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