Fixed point analysis for non-oscillatory solutions of quasi-linear ordinary differential equations. (English) Zbl 1098.34025
The authors present necessary and sufficient conditions for the existence of unbounded non-oscillatory solutions of
\[ (r(t)\varphi(u'))'+g(t,u)=0. \]
Using fixed-point techniques, they investigate the growth of such solutions.
\[ (r(t)\varphi(u'))'+g(t,u)=0. \]
Using fixed-point techniques, they investigate the growth of such solutions.
Reviewer: Jozef Dzurina (Kosice)
MSC:
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
| 34C11 | Growth and boundedness of solutions to ordinary differential equations |
References:
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