On the Comparison of One Pair of Second Order Linear Differential Equations
Vol. 20 (2013), No. 3, Page 317–333.
LATREUCH, Zinelâabidine ; BELAïDI, Benharrat
On the Comparison of One Pair of Second Order Linear Differential Equations
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Abstract:
The main purpose of this paper is to study the controllability of solutions of one pair of linear differential equations f′′+A(z)f=0 and g′′+B(z)g=0. We study the growth and oscillation of w=d1f+d2g, where f,g are the solutions of the above equations and d1,d2 are entire functions of finite order.
Keywords: Linear differential equations, Order of growth, Hyper-order, Exponent of convergence of the sequence of distinct zeros, Hyper-exponent of convergence of the sequence of distinct zeros.
Mathematics Subject Classification (2010): 34M10, 30D35.
Mathematical Reviews Number: MR3156984
Received: 2013-01-21