Asymptotic behavior of positive solutions of \(x= t^{\alpha\lambda-2} x^{1+\alpha}\) in the sublinear case
DOI10.3836/tjm/1279719587zbMath1216.34006OpenAlexW1986330673MaRDI QIDQ989211
Publication date: 30 August 2010
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3836/tjm/1279719587
asymptotic representation2-dimensional autonomous systemsublinear second order initial value problem
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)
Cites Work
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- On solutions of \(x=-e^{\alpha \lambda t}x^{1+\alpha}\)
- Solutions of \(x=t^{\alpha\lambda -2}x{1+\alpha}\) with movable singularity
- Self-similar solutions of the generalized Emden-Fowler equation
- On bounded solutions of \(x=t^\beta x^{1+\alpha}\)
- Asymptotic behavior of positive solutions of singular Emden-Fowler type equations
- On the generalized Thomas-Fermi differential equations and applicability of Saito's transformation
- Asymptotic behavior of solutions of \(x=e^{\alpha\lambda t}x^{1+\alpha}\) where \(-1<{\alpha}<0\)
- On solutions of \(x= t^{\alpha\lambda-2} x^{1+\alpha}\) starting at some positive \(t\)
- Asymptotic behavior of positive solutions of \(x=-t^{\alpha \lambda -2}x^{1+\alpha}\) with \(\alpha <0\) and \(\lambda <-1\) or \(\lambda >0\)
- On asymptotic behavior of positive solutions of \(x=e^{\alpha \lambda t}x^{1+\alpha}\) with \(\alpha <-1\)
- Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden--Fowler and relative equations)
- On solutions of \(x=t^{\alpha\lambda-2}x^{1+\alpha}\) where \(\alpha>0\) and \(\lambda=0\), \(-1\)
- Invariance transformations of the class y″=F(x)y n of differential equations
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