Properties of the solutions of the fourth-order Bessel-type differential equation

DOI10.1016/j.jmaa.2009.05.045zbMath1204.34121OpenAlexW2061750652WikidataQ115346207 ScholiaQ115346207MaRDI QIDQ2272045

Lance L. Littlejohn, Clemens Markett, W. Norrie Everitt

Publication date: 5 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.045

zbMATH Keywords

Bessel functionsBessel-type functionsfourth-order Bessel-type differential equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (8)

ANTI-PERIODIC SOLUTIONS FOR A CLASS OF 2nTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DELAYS ⋮ Pseudo almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument ⋮ Antiperiodic solutions for a generalized high-order \((p, q)\)-Laplacian neutral differential system with delays in the critical case ⋮ New representation and factorizations of the higher-order ultraspherical-type differential equations ⋮ Factorization of self-adjoint ordinary differential equations ⋮ Solution bases for the fourth-order Bessel-type and Laguerre-type differential equations ⋮ Fourier-Bessel series for second-order and fourth-order Bessel differential equations ⋮ Variation of parameters and solutions of composite products of linear differential equations

Uses Software

• Maple

Cites Work

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• Fourier-Bessel series for second-order and fourth-order Bessel differential equations
• Fourier-Bessel-type series: the fourth-order case
• On a generalization of Bessel functions satisfying higher-order differential equations
• Formal solutions and factorization of differential operators with power series coefficients
• Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform^†
• Quasi-separation of the biharmonic partial differential equation
• The Fourth-order Bessel–type Differential Equation
• Additional spectral properties of the fourth‐order Bessel‐type differential equation

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