Subnormal Solutions of Second-Order Nonhomogeneous Linear Differential Equations with Periodic Coefficients | Zendy

Zhi-Bo Huang | Zendy; Zong-Xuan Chen | Zendy; Qian Li | Zendy

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Subnormal 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, deg⁡P1>deg⁡P2. We partly resolve the question raised by G. G. Gundersen and E. M. Steinbart in 1994

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