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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

2 votes
2 answers
286 views

Asymptotics of solutions to the ODE $f''(t)-e^{-2t} f(t)=0$

Consider the ode $$ f''(t)-e^{-2t} f(t)=0. $$ What is the general behaviour of $|f|$ for large $t$s? Is it true that there exists an $A\in \mathbb{R}$ and there exists a positive $B$ such that $|f( …
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