Asymptotic Characterization Of Solutions Of Emden-Fowler Type Difference Equation

Korobko, Evgeniya

doi:10.13164/eeict.2021.250

Proceedings II of the 27st Conference STUDENT EEICT 2021 2021

DOI: 10.13164/eeict.2021.250

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Asymptotic Characterization Of Solutions Of Emden-Fowler Type Difference Equation

Evgeniya Korobko¹

Abstract: The paper derives an asymptotic formula describing the long-time behaviour of a solution of a nonlinear Emden-Fowler type difference equation.

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Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

Асташова¹,

Diblı́k²,

Korobko³

2021

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The paper studies the asymptotic behaviour of solutions to a second-order non-linear discrete equation of Emden–Fowler type<disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \Delta^2 u(k) \pm k^\alpha u^m(k) = 0 $\end{document} </tex-math></disp-formula>where <inline-formula><tex-math id="M1">\begin{document}$ u\colon \{k_0, k_0+1, \dots\}\to \mathbb{R} $\end{document}</tex-math></inline-formula> is an unknown solution, <inline-formula><tex-math id="M2">\begin{document}$ \Delta^2 u(k) $\end{document}</tex-math></inline-formula> is its second-order forward difference, <inline-formula><tex-math id="M3">\begin{document}$ k_0 $\end{document}</tex-math></inline-formula> is a fixed integer and <inline-formula><tex-math id="M4">\begin{document}$ \alpha $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M5">\begin{document}$ m $\end{document}</tex-math></inline-formula> are real numbers, <inline-formula><tex-math id="M6">\begin{document}$ m\not = 0, 1 $\end{document}</tex-math></inline-formula>.

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Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

Асташова¹,

Diblı́k²,

Korobko³

2021

DCDS-S

View full text Add to dashboard Cite

show abstract

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Asymptotic Characterization Of Solutions Of Emden-Fowler Type Difference Equation

Abstract: The paper derives an asymptotic formula describing the long-time behaviour of a solution of a nonlinear Emden-Fowler type difference equation.

Cited by 1 publication

References 1 publication

Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

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