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https://doi.org/10.21857/y26kecl839

Differential polynomials generated by solutions of second order non-homogeneous linear differential equations

Benharrat Belaïdi orcid id orcid.org/0000-0002-6635-2514 ; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem, B. P 227 Mostaganem, Algeria


Puni tekst: engleski pdf 551 Kb

str. 139-153

preuzimanja: 201

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Sažetak

This paper is devoted to studying the growth and the oscillation of solutions of the second order non-homogeneous linear differential equation
f′′ + Aea1z f′ + B(z) ea2z f = F(z) ea1z,
where A, a1, a2 are complex numbers, B(z) (≢ 0) and F(z) (≢ 0) are entire functions with order less than one. Moreover, we investigate the growth and the oscillation of some differential polynomials generated by solutions of the above equation.

Ključne riječi

Differential polynomial; linear differential equations; entire solutions; order of growth; exponent of convergence of zeros; exponent of convergence of distinct zeros

Hrčak ID:

283932

URI

https://hrcak.srce.hr/283932

Datum izdavanja:

27.9.2022.

Posjeta: 349 *