Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (4): 1177-1186.doi: 10.1016/S0252-9602(13)60072-7

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SECTORIAL OSCILLATION THEORY OF LINEAR DIFFERENTIAL EQUATIONS

 WU Zhao-Jun, CHEN Yu-Xian   

  1. School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China|School of Mathematics and Computer Science, Xinyu University, Xinyu 338004, China
  • Received:2011-09-21 Revised:2012-04-17 Online:2013-07-20 Published:2013-07-20
  • Supported by:

    This research was partially supported by the NSF of Jiangxi Province (2010GZC0187), NSF of Educational Department of the Hubei Province (T201009, Q20112807) and NFS of China (11201395).

Abstract:

In this paper, the sectorial oscillation of the solutions of higher order homo-geneous linear differential equations
f(k) + An−2(z)f (k−2) +… + A1(z)' + A0(z)f = 0
with infinite order entire function coefficients is studied. Results are obtained to extend some results in [19] and [18].

Key words: radial exponent of convergence, iterated order, sectorial oscillation, Borel direction

CLC Number: 

  • 30D35
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