Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments

DOI10.1016/j.camwa.2009.06.039zbMath1189.34121OpenAlexW2052418524MaRDI QIDQ980367

Tomoyuki Tanigawa, Jelena V. Manojlovic, Takasi Kusano

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.06.039

zbMATH Keywords

functional differential equationhalf-linear differential equationregularly varying solution

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items

Half-linear oscillation criteria: perturbation in term involving derivative, Asymptotic analysis of Emden-Fowler differential equations in the framework of regular variation, Positive solutions of fourth order Emden-Fowler type differential equations in the framework of regular variation, Unnamed Item, Asymptotic behavior of positive solutions of sublinear differential equations of Emden-Fowler type, Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients, Positive solutions of fourth order Thomas-Fermi type differential equations in the framework of regular variation, Euler type half-linear differential equation with periodic coefficients

Cites Work

• Regularly varying solutions of half-linear functional differential equations with retarded arguments
• Asymptotics of solutions of \(y=f(x)\varphi (y)\)
• Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
• Regular variation and differential equations
• On a class of functional differential equations having slowly varying solutions
• Remarks on the existence of regularly varying solutions for second order linear differential equations
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