On solutions of nonlinear ordinary differential equations with variable coefficients based on elastic transformation methods

DOI10.1216/rmj.2023.53.299OpenAlexW4376056397MaRDI QIDQ6158206

Pengshe Zheng, Ya Tang, Shunchu Li, Xiao-Xu Dong

Publication date: 31 May 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-1/ON-SOLUTIONS-OF-NONLINEAR-ORDINARY-DIFFERENTIAL-EQUATIONS-WITH-VARIABLE-COEFFICIENTS/10.1216/rmj.2023.53.299.full

zbMATH Keywords

ordinary differential equationnonlinearvariable coefficientsassociated Chebyshev equationelastic reduced transformationelastic upgrading transformation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• The elastic boundary value problem of extended modified Bessel equation and its application in fractal homogeneous reservoir
• Series solution of nonlinear differential equations by a novel extension of the Laplace transform method
• The extended Laplace transform method for mathematical analysis of the Thomas-Fermi equation
• Unnamed Item

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