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2011•Fudan xuebao. Ziran Kexue banRequires access

Growth of Nonhomogenous Higher Order Linear Differential Equations

Jun Wang

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Abstract

The growth of solutions of linear differential equations f(k)+Ak-1(z)f(k-1)+…+A1(z)f′+A0(z)f=H(z) is studied,where Aj(j=0,1,…,k-1) and H(z) are entire functions of finite order,one of Aj satisfies some condition on the maximum modulus.

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What this paper is about

The growth of solutions of linear differential equations f(k)+Ak-1(z)f(k-1)+…+A1(z)f′+A0(z)f=H(z) is studied,where Aj(j=0,1,…,k-1) and H(z) are entire functions of finite order,one of Aj satisfies some condition on the maximum modulus.

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Available abstract

The growth of solutions of linear differential equations f(k)+Ak-1(z)f(k-1)+…+A1(z)f′+A0(z)f=H(z) is studied,where Aj(j=0,1,…,k-1) and H(z) are entire functions of finite order,one of Aj satisfies some condition on the maximum modulus.

Key concepts: Linear differential equation, Order (exchange), Linear growth, Mathematics, Differential equation, Mathematical analysis, Economics, Finance

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