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A vector functional equation and linear differential equations

✍ Scribed by František Neuman

Publisher
Springer
Year
1985
Tongue
English
Weight
225 KB
Volume
29
Category
Article
ISSN
0001-9054

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📜 SIMILAR VOLUMES

Vector-valued entire functions satisfyin
Vector-valued entire functions satisfying a differential equation
✍ Ranjan Roy; S.M. Shah 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 392 KB

which are entire functions, for growth problems\_ All such functions, when they satisfy a class of differential equations, are of bounded index and exponential type, and their components are also of bounded index\_

Linear functional differential equations
Linear functional differential equations with Property A
✍ M.K. Grammatikopulos; R. Koplatadze; G. Kvinikadze 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 165 KB

In the paper the general linear functional differential equation with several distributed deviations is considered. Sufficient conditions for the equation to have Property A (see Definition 1.2 below) are established. The obtained results are new even for Eq. (1.4).

Entire functions satisfying a linear dif
Entire functions satisfying a linear differential equation
✍ G.H Fricke; S.M Shah 📂 Article 📅 1975 🏛 Elsevier Science ⚖ 121 KB

If f is an entire function and satisfies a certain differential equation, then it is shown that f is of bounded index. This extends a theorem of 5. M. Shah.