Positive solutions of fourth order Thomas-Fermi type differential equations in the framework of regular variation

DOI10.1007/s10440-012-9691-5zbMath1263.34042OpenAlexW1966717126MaRDI QIDQ693166

Takasi Kusano, Jelena V. Manojlovic

Publication date: 7 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9691-5

zbMATH Keywords

regular variationfourth-order Thomas-Fermi type differential equations

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (8)

Intermediate solutions of fourth order quasilinear differential equations in the framework of regular variation ⋮ Strongly increasing solutions of cyclic systems of second order differential equations with power-type nonlinearities ⋮ Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in \(\mathbb{R}^n\backslash\{0\}\) ⋮ Intermediate solutions of second order quasilinear ordinary differential equations in the framework of regular variation ⋮ Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions ⋮ Asymptotics of decreasing solutions of coupled \(p\)-Laplacian systems in the framework of regular variation ⋮ An Asymptotic Analysis of Solutions of a Second Order Nonlinear Differential Equation ⋮ Existence and asymptotic behavior of intermediate type of positive solutions of fourth-order nonlinear differential equations

Cites Work

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• Asymptotic analysis of Emden-Fowler differential equations in the framework of regular variation
• Precise asymptotic behavior of solutions of the sublinear Emden-Fowler differential equation
• Regularly varying solutions of second order nonlinear functional differential equations with retarded argument
• Regularly varying solutions of half-linear functional differential equations with retarded arguments
• Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments
• Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
• Regular variation and differential equations
• Nonoscillatory half-linear differential equations and generalized Karamata functions
• On a class of functional differential equations having slowly varying solutions
• Regularly varying solutions of perturbed Euler differential equations and related functional differential equations
• Self-adjoint differential equations and generalized Karamata functions

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