Open AccessSubnormal Solutions of Second-Order Nonhomogeneous Linear Differential Equations with Periodic Coefficients
Author(s) -
Zhi-Bo Huang,
Zong-Xuan Chen,
Qian Li
Publication year - 2009
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2009/416273
Subject(s) - mathematics , linear differential equation , differential equation , mathematical analysis , order (exchange) , constant coefficients , constant (computer programming) , finance , economics , computer science , programming language
We obtain the representations of the subnormal solutions of nonhomogeneous linear differential equation f′′+[P1(ez)+Q1(e−z)]f′+[P2(ez)+Q2(e−z)]f=R1(ez)+R2(e−z), where P1(z),P2(z),Q1(z),Q2(z),R1(z), and R2(z) are polynomials in z such that P1(z),P2(z),Q1(z), and Q2(z) are not all constants, degP1>degP2. We partly resolve the question raised by G. G. Gundersen and E. M. Steinbart in 1994