The growth of entire solutions of differential equations of finite and infinite order

DOI10.5802/aif.404zbMath0221.35005OpenAlexW2058802485MaRDI QIDQ2547309

Lawrence Gruman

Publication date: 1972

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1972__22_1_211_0

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

Some precisions on the Fourier-Borel transform and infinite order differential equations ⋮ Preservation of functions not having completely regular growth by a convolution operator ⋮ Solvability of partial differential equations of infinite order in certain classes of entire functions ⋮ A partial differential equation with constant coefficients not having a normal solution in \([\rho,\sigma\)] ⋮ Unnamed Item

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• Équations différentielles d'ordre infini
• The Minimum Modulus of Small Integral and Subharmonic Functions
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