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Growth and oscillation theory of non-homogeneous linear differential equations

Published online by Cambridge University Press:  20 January 2009

Gary G. Gundersen ,
Enid M. Steinbart  and
Shupei Wang
Gary G. Gundersen
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA (ggunders@math.uno.edu; esteinba@math.uno.edu; swang@math.uno.edu)
Enid M. Steinbart
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA (ggunders@math.uno.edu; esteinba@math.uno.edu; swang@math.uno.edu)
Shupei Wang
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA (ggunders@math.uno.edu; esteinba@math.uno.edu; swang@math.uno.edu)
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Abstract

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We investigate the growth and the frequency of zeros of the solutions of the differential equation f(n) + Pn–1 (z) f(n–1) + … + P0 (z) f = H (z), where P0 (z), P1(z), …, Pn–1(z) are polynomials with P0 (z) ≢ 0, and H (z) ≢ 0 is an entire function of finite order.

Keywords

linear differential equationnon-homogeneousentire functionorder of growthexponent of convergence
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 2 , June 2000 , pp. 343 - 359
Copyright
Copyright © Edinburgh Mathematical Society 2000

References

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