Oscillatory and asymptotic properties of solutions of generalized Thomas- Fermi equations with deviating arguments

DOI10.1016/0022-247X(81)90184-0zbMath0491.34057OpenAlexW2016987845MaRDI QIDQ1167335

Paul W. Spikes, John R. Graef, Myron K. Grammatikopoulos

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90184-0

zbMATH Keywords

classification of solutionsThomas-Fermi equations with deviating argument

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (7)

Oscillatory and asymptotic behavior of solutions of differential equations with deviating arguments ⋮ Some oscillation criteria for delay differential equations of even order ⋮ Asymptotic and oscillatory behavior of solutions of nonlinear neutral delay equations of arbitrary order ⋮ Oscillations of advanced differential inequalities ⋮ Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions ⋮ Oscillation of even order differential equations with deviating arguments ⋮ A Computationally Hybrid Method for Solving a Famous Physical Problem on an Unbounded Domain

Cites Work

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• Asymptotic behavior of solutions of \(y=\varphi(t)y^\lambda\)
• Influence of deviating arguments on the behavior of the bounded solutions of nonlinear differential equations
• Nonoscillatory Solutions of Differential Equations with Retarded Arguments
• On the Types of Nonoscillatory Solutions of Differential Equations with Deviating Arguments

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