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Some new results concerning asymptotic integration and global existence of positive solutions of the Emden-Fowler equation \((r(t)x')' = P(t) | x |^{\nu-1} x\) are given. These results improve well known results of this area. Some applications to certain elliptic problems are given, too.
global existence, positive solutions, Applied Mathematics, Emden- Fowler equation, Growth and boundedness of solutions to ordinary differential equations, asymptotic integration, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Analysis
global existence, positive solutions, Applied Mathematics, Emden- Fowler equation, Growth and boundedness of solutions to ordinary differential equations, asymptotic integration, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Analysis
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